Finding the Third Proportional to 17,564 and 25,688

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 25,688 = 25,688 : x
2. Step 2: Convert to fraction form
   17,564/25,688 = 25,688/x
3. Step 3: Cross multiply
   17,564x = 25,688 × 25,688
4. Step 4: Simplify right side
   17,564x = 659,873,344
5. Step 5: Solve for x
   x = 659,873,344/17,564
6. Step 6: Final answer
   x = 37,569.65