Finding the Third Proportional to 17,635 and 38,549

Step by Step Solution

1. Step 1: Write the proportion equation
   17,635 : 38,549 = 38,549 : x
2. Step 2: Convert to fraction form
   17,635/38,549 = 38,549/x
3. Step 3: Cross multiply
   17,635x = 38,549 × 38,549
4. Step 4: Simplify right side
   17,635x = 1,486,025,401
5. Step 5: Solve for x
   x = 1,486,025,401/17,635
6. Step 6: Final answer
   x = 84,265.69