Finding the Third Proportional to 35,114 and 76,540

Step by Step Solution

1. Step 1: Write the proportion equation
   35,114 : 76,540 = 76,540 : x
2. Step 2: Convert to fraction form
   35,114/76,540 = 76,540/x
3. Step 3: Cross multiply
   35,114x = 76,540 × 76,540
4. Step 4: Simplify right side
   35,114x = 5,858,371,600
5. Step 5: Solve for x
   x = 5,858,371,600/35,114
6. Step 6: Final answer
   x = 166,838.63