Finding the Third Proportional to 35,568 and 76,650

Step by Step Solution

1. Step 1: Write the proportion equation
   35,568 : 76,650 = 76,650 : x
2. Step 2: Convert to fraction form
   35,568/76,650 = 76,650/x
3. Step 3: Cross multiply
   35,568x = 76,650 × 76,650
4. Step 4: Simplify right side
   35,568x = 5,875,222,500
5. Step 5: Solve for x
   x = 5,875,222,500/35,568
6. Step 6: Final answer
   x = 165,182.82