Finding the Third Proportional to 35,814 and 76,549

Step by Step Solution

1. Step 1: Write the proportion equation
   35,814 : 76,549 = 76,549 : x
2. Step 2: Convert to fraction form
   35,814/76,549 = 76,549/x
3. Step 3: Cross multiply
   35,814x = 76,549 × 76,549
4. Step 4: Simplify right side
   35,814x = 5,859,749,401
5. Step 5: Solve for x
   x = 5,859,749,401/35,814
6. Step 6: Final answer
   x = 163,616.17