Finding the Third Proportional to 17,542 and 26,500

Step by Step Solution

1. Step 1: Write the proportion equation
   17,542 : 26,500 = 26,500 : x
2. Step 2: Convert to fraction form
   17,542/26,500 = 26,500/x
3. Step 3: Cross multiply
   17,542x = 26,500 × 26,500
4. Step 4: Simplify right side
   17,542x = 702,250,000
5. Step 5: Solve for x
   x = 702,250,000/17,542
6. Step 6: Final answer
   x = 40,032.49