Finding the Third Proportional to 16,387 and 35,549

Step by Step Solution

1. Step 1: Write the proportion equation
   16,387 : 35,549 = 35,549 : x
2. Step 2: Convert to fraction form
   16,387/35,549 = 35,549/x
3. Step 3: Cross multiply
   16,387x = 35,549 × 35,549
4. Step 4: Simplify right side
   16,387x = 1,263,731,401
5. Step 5: Solve for x
   x = 1,263,731,401/16,387
6. Step 6: Final answer
   x = 77,117.92