Finding the Third Proportional to 12,582.75 and 25,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,582.75 : 25,711.50 = 25,711.50 : x
2. Step 2: Convert to fraction form
   12,582.75/25,711.50 = 25,711.50/x
3. Step 3: Cross multiply
   12,582.75x = 25,711.50 × 25,711.50
4. Step 4: Simplify right side
   12,582.75x = 661,081,232.25
5. Step 5: Solve for x
   x = 661,081,232.25/12,582.75
6. Step 6: Final answer
   x = 52,538.69