Finding the Third Proportional to 17,984 and 38,272

Step by Step Solution

1. Step 1: Write the proportion equation
   17,984 : 38,272 = 38,272 : x
2. Step 2: Convert to fraction form
   17,984/38,272 = 38,272/x
3. Step 3: Cross multiply
   17,984x = 38,272 × 38,272
4. Step 4: Simplify right side
   17,984x = 1,464,745,984
5. Step 5: Solve for x
   x = 1,464,745,984/17,984
6. Step 6: Final answer
   x = 81,447.17