Finding the Third Proportional to 11,782.50 and 25,410.38

Step by Step Solution

1. Step 1: Write the proportion equation
   11,782.50 : 25,410.38 = 25,410.38 : x
2. Step 2: Convert to fraction form
   11,782.50/25,410.38 = 25,410.38/x
3. Step 3: Cross multiply
   11,782.50x = 25,410.38 × 25,410.38
4. Step 4: Simplify right side
   11,782.50x = 645,687,157.64
5. Step 5: Solve for x
   x = 645,687,157.64/11,782.50
6. Step 6: Final answer
   x = 54,800.52