Finding the Third Proportional to 35,650 and 76,078

Step by Step Solution

1. Step 1: Write the proportion equation
   35,650 : 76,078 = 76,078 : x
2. Step 2: Convert to fraction form
   35,650/76,078 = 76,078/x
3. Step 3: Cross multiply
   35,650x = 76,078 × 76,078
4. Step 4: Simplify right side
   35,650x = 5,787,862,084
5. Step 5: Solve for x
   x = 5,787,862,084/35,650
6. Step 6: Final answer
   x = 162,352.37