Finding the Third Proportional to 12,740.50 and 25,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,740.50 : 25,824.50 = 25,824.50 : x
2. Step 2: Convert to fraction form
   12,740.50/25,824.50 = 25,824.50/x
3. Step 3: Cross multiply
   12,740.50x = 25,824.50 × 25,824.50
4. Step 4: Simplify right side
   12,740.50x = 666,904,800.25
5. Step 5: Solve for x
   x = 666,904,800.25/12,740.50
6. Step 6: Final answer
   x = 52,345.26