Finding the Third Proportional to 17,464 and 25,952

Step by Step Solution

1. Step 1: Write the proportion equation
   17,464 : 25,952 = 25,952 : x
2. Step 2: Convert to fraction form
   17,464/25,952 = 25,952/x
3. Step 3: Cross multiply
   17,464x = 25,952 × 25,952
4. Step 4: Simplify right side
   17,464x = 673,506,304
5. Step 5: Solve for x
   x = 673,506,304/17,464
6. Step 6: Final answer
   x = 38,565.41