Finding the Third Proportional to 14,705,731,780,935 and 32,181,713,768,823

Step by Step Solution

1. Step 1: Write the proportion equation
   14,705,731,780,935 : 32,181,713,768,823 = 32,181,713,768,823 : x
2. Step 2: Convert to fraction form
   14,705,731,780,935/32,181,713,768,823 = 32,181,713,768,823/x
3. Step 3: Cross multiply
   14,705,731,780,935x = 32,181,713,768,823 × 32,181,713,768,823
4. Step 4: Simplify right side
   14,705,731,780,935x = 1,035,662,701,098,451,813,152,063,488
5. Step 5: Solve for x
   x = 1,035,662,701,098,451,813,152,063,488/14,705,731,780,935
6. Step 6: Final answer
   x = 70,425,784,757,010.14