Finding the Third Proportional to 17,534 and 38,026

Step by Step Solution

1. Step 1: Write the proportion equation
   17,534 : 38,026 = 38,026 : x
2. Step 2: Convert to fraction form
   17,534/38,026 = 38,026/x
3. Step 3: Cross multiply
   17,534x = 38,026 × 38,026
4. Step 4: Simplify right side
   17,534x = 1,445,976,676
5. Step 5: Solve for x
   x = 1,445,976,676/17,534
6. Step 6: Final answer
   x = 82,467.02