Finding the Third Proportional to 17,748 and 38,432

Step by Step Solution

1. Step 1: Write the proportion equation
   17,748 : 38,432 = 38,432 : x
2. Step 2: Convert to fraction form
   17,748/38,432 = 38,432/x
3. Step 3: Cross multiply
   17,748x = 38,432 × 38,432
4. Step 4: Simplify right side
   17,748x = 1,477,018,624
5. Step 5: Solve for x
   x = 1,477,018,624/17,748
6. Step 6: Final answer
   x = 83,221.69