Finding the Third Proportional to 34,857 and 76,549

Step by Step Solution

1. Step 1: Write the proportion equation
   34,857 : 76,549 = 76,549 : x
2. Step 2: Convert to fraction form
   34,857/76,549 = 76,549/x
3. Step 3: Cross multiply
   34,857x = 76,549 × 76,549
4. Step 4: Simplify right side
   34,857x = 5,859,749,401
5. Step 5: Solve for x
   x = 5,859,749,401/34,857
6. Step 6: Final answer
   x = 168,108.25