Finding the Third Proportional to 11,592 and 25,438.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,592 : 25,438.50 = 25,438.50 : x
2. Step 2: Convert to fraction form
   11,592/25,438.50 = 25,438.50/x
3. Step 3: Cross multiply
   11,592x = 25,438.50 × 25,438.50
4. Step 4: Simplify right side
   11,592x = 647,117,282.25
5. Step 5: Solve for x
   x = 647,117,282.25/11,592
6. Step 6: Final answer
   x = 55,824.47