Finding the Third Proportional to 17,140 and 25,588

Step by Step Solution

1. Step 1: Write the proportion equation
   17,140 : 25,588 = 25,588 : x
2. Step 2: Convert to fraction form
   17,140/25,588 = 25,588/x
3. Step 3: Cross multiply
   17,140x = 25,588 × 25,588
4. Step 4: Simplify right side
   17,140x = 654,745,744
5. Step 5: Solve for x
   x = 654,745,744/17,140
6. Step 6: Final answer
   x = 38,199.87