Finding the Third Proportional to 17,632 and 25,864

Step by Step Solution

1. Step 1: Write the proportion equation
   17,632 : 25,864 = 25,864 : x
2. Step 2: Convert to fraction form
   17,632/25,864 = 25,864/x
3. Step 3: Cross multiply
   17,632x = 25,864 × 25,864
4. Step 4: Simplify right side
   17,632x = 668,946,496
5. Step 5: Solve for x
   x = 668,946,496/17,632
6. Step 6: Final answer
   x = 37,939.34