Finding the Third Proportional to 38,782.50 and 59,301.75

Step by Step Solution

1. Step 1: Write the proportion equation
   38,782.50 : 59,301.75 = 59,301.75 : x
2. Step 2: Convert to fraction form
   38,782.50/59,301.75 = 59,301.75/x
3. Step 3: Cross multiply
   38,782.50x = 59,301.75 × 59,301.75
4. Step 4: Simplify right side
   38,782.50x = 3,516,697,553.06
5. Step 5: Solve for x
   x = 3,516,697,553.06/38,782.50
6. Step 6: Final answer
   x = 90,677.43