Finding the Third Proportional to 17,564 and 25,690

Step by Step Solution

1. Step 1: Write the proportion equation
   17,564 : 25,690 = 25,690 : x
2. Step 2: Convert to fraction form
   17,564/25,690 = 25,690/x
3. Step 3: Cross multiply
   17,564x = 25,690 × 25,690
4. Step 4: Simplify right side
   17,564x = 659,976,100
5. Step 5: Solve for x
   x = 659,976,100/17,564
6. Step 6: Final answer
   x = 37,575.50