Finding the Third Proportional to 35,898 and 76,116

Step by Step Solution

1. Step 1: Write the proportion equation
   35,898 : 76,116 = 76,116 : x
2. Step 2: Convert to fraction form
   35,898/76,116 = 76,116/x
3. Step 3: Cross multiply
   35,898x = 76,116 × 76,116
4. Step 4: Simplify right side
   35,898x = 5,793,645,456
5. Step 5: Solve for x
   x = 5,793,645,456/35,898
6. Step 6: Final answer
   x = 161,391.87