Finding the Third Proportional to 14,705,731,780,946 and 32,181,713,768,844

Step by Step Solution

1. Step 1: Write the proportion equation
   14,705,731,780,946 : 32,181,713,768,844 = 32,181,713,768,844 : x
2. Step 2: Convert to fraction form
   14,705,731,780,946/32,181,713,768,844 = 32,181,713,768,844/x
3. Step 3: Cross multiply
   14,705,731,780,946x = 32,181,713,768,844 × 32,181,713,768,844
4. Step 4: Simplify right side
   14,705,731,780,946x = 1,035,662,701,099,803,525,259,460,608
5. Step 5: Solve for x
   x = 1,035,662,701,099,803,525,259,460,608/14,705,731,780,946
6. Step 6: Final answer
   x = 70,425,784,757,049.39