Finding the Third Proportional to 17,534.50 and 25,380.38

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534.50 : 25,380.38 = 25,380.38 : x
2. Step 2: Convert to fraction form
   17,534.50/25,380.38 = 25,380.38/x
3. Step 3: Cross multiply
   17,534.50x = 25,380.38 × 25,380.38
4. Step 4: Simplify right side
   17,534.50x = 644,163,435.14
5. Step 5: Solve for x
   x = 644,163,435.14/17,534.50
6. Step 6: Final answer
   x = 36,736.91