Finding the Third Proportional to 38,884.50 and 81,685.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,884.50 : 81,685.75 = 81,685.75 : x
2. Step 2: Convert to fraction form
   38,884.50/81,685.75 = 81,685.75/x
3. Step 3: Cross multiply
   38,884.50x = 81,685.75 × 81,685.75
4. Step 4: Simplify right side
   38,884.50x = 6,672,561,753.06
5. Step 5: Solve for x
   x = 6,672,561,753.06/38,884.50
6. Step 6: Final answer
   x = 171,599.53