Finding the Third Proportional to 14,705,731,780,937 and 32,181,713,768,827

Step by Step Solution

1. Step 1: Write the proportion equation
   14,705,731,780,937 : 32,181,713,768,827 = 32,181,713,768,827 : x
2. Step 2: Convert to fraction form
   14,705,731,780,937/32,181,713,768,827 = 32,181,713,768,827/x
3. Step 3: Cross multiply
   14,705,731,780,937x = 32,181,713,768,827 × 32,181,713,768,827
4. Step 4: Simplify right side
   14,705,731,780,937x = 1,035,662,701,098,709,373,750,870,016
5. Step 5: Solve for x
   x = 1,035,662,701,098,709,373,750,870,016/14,705,731,780,937
6. Step 6: Final answer
   x = 70,425,784,757,018.08