Finding the Third Proportional to 17,671 and 38,578

Step by Step Solution

1. Step 1: Write the proportion equation
   17,671 : 38,578 = 38,578 : x
2. Step 2: Convert to fraction form
   17,671/38,578 = 38,578/x
3. Step 3: Cross multiply
   17,671x = 38,578 × 38,578
4. Step 4: Simplify right side
   17,671x = 1,488,262,084
5. Step 5: Solve for x
   x = 1,488,262,084/17,671
6. Step 6: Final answer
   x = 84,220.59