Finding the Third Proportional to 35,150 and 75,676

Step by Step Solution

1. Step 1: Write the proportion equation
   35,150 : 75,676 = 75,676 : x
2. Step 2: Convert to fraction form
   35,150/75,676 = 75,676/x
3. Step 3: Cross multiply
   35,150x = 75,676 × 75,676
4. Step 4: Simplify right side
   35,150x = 5,726,856,976
5. Step 5: Solve for x
   x = 5,726,856,976/35,150
6. Step 6: Final answer
   x = 162,926.23