Finding the Third Proportional to 17,532 and 38,464

Step by Step Solution

1. Step 1: Write the proportion equation
   17,532 : 38,464 = 38,464 : x
2. Step 2: Convert to fraction form
   17,532/38,464 = 38,464/x
3. Step 3: Cross multiply
   17,532x = 38,464 × 38,464
4. Step 4: Simplify right side
   17,532x = 1,479,479,296
5. Step 5: Solve for x
   x = 1,479,479,296/17,532
6. Step 6: Final answer
   x = 84,387.37