Finding the Third Proportional to 17,534 and 38,238

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 38,238 = 38,238 : x
2. Step 2: Convert to fraction form
   17,534/38,238 = 38,238/x
3. Step 3: Cross multiply
   17,534x = 38,238 × 38,238
4. Step 4: Simplify right side
   17,534x = 1,462,144,644
5. Step 5: Solve for x
   x = 1,462,144,644/17,534
6. Step 6: Final answer
   x = 83,389.11