Finding the Third Proportional to 28,765 and 38,863.50

Step by Step Solution

1. Step 1: Write the proportion equation
   28,765 : 38,863.50 = 38,863.50 : x
2. Step 2: Convert to fraction form
   28,765/38,863.50 = 38,863.50/x
3. Step 3: Cross multiply
   28,765x = 38,863.50 × 38,863.50
4. Step 4: Simplify right side
   28,765x = 1,510,371,632.25
5. Step 5: Solve for x
   x = 1,510,371,632.25/28,765
6. Step 6: Final answer
   x = 52,507.27