Finding the Third Proportional to 17,534 and 38,468

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 38,468 = 38,468 : x
2. Step 2: Convert to fraction form
   17,534/38,468 = 38,468/x
3. Step 3: Cross multiply
   17,534x = 38,468 × 38,468
4. Step 4: Simplify right side
   17,534x = 1,479,787,024
5. Step 5: Solve for x
   x = 1,479,787,024/17,534
6. Step 6: Final answer
   x = 84,395.29