Finding the Third Proportional to 17,688 and 25,581

Step by Step Solution

1. Step 1: Write the proportion equation
   17,688 : 25,581 = 25,581 : x
2. Step 2: Convert to fraction form
   17,688/25,581 = 25,581/x
3. Step 3: Cross multiply
   17,688x = 25,581 × 25,581
4. Step 4: Simplify right side
   17,688x = 654,387,561
5. Step 5: Solve for x
   x = 654,387,561/17,688
6. Step 6: Final answer
   x = 36,996.13