Finding the Third Proportional to 37,732.88 and 78,566.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,732.88 : 78,566.13 = 78,566.13 : x
2. Step 2: Convert to fraction form
   37,732.88/78,566.13 = 78,566.13/x
3. Step 3: Cross multiply
   37,732.88x = 78,566.13 × 78,566.13
4. Step 4: Simplify right side
   37,732.88x = 6,172,635,997.52
5. Step 5: Solve for x
   x = 6,172,635,997.52/37,732.88
6. Step 6: Final answer
   x = 163,587.75