Finding the Third Proportional to 25,542 and 37,417.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,542 : 37,417.50 = 37,417.50 : x
2. Step 2: Convert to fraction form
   25,542/37,417.50 = 37,417.50/x
3. Step 3: Cross multiply
   25,542x = 37,417.50 × 37,417.50
4. Step 4: Simplify right side
   25,542x = 1,400,069,306.25
5. Step 5: Solve for x
   x = 1,400,069,306.25/25,542
6. Step 6: Final answer
   x = 54,814.40