Finding the Third Proportional to 35,634 and 56,422

Step by Step Solution

1. Step 1: Write the proportion equation
   35,634 : 56,422 = 56,422 : x
2. Step 2: Convert to fraction form
   35,634/56,422 = 56,422/x
3. Step 3: Cross multiply
   35,634x = 56,422 × 56,422
4. Step 4: Simplify right side
   35,634x = 3,183,442,084
5. Step 5: Solve for x
   x = 3,183,442,084/35,634
6. Step 6: Final answer
   x = 89,337.21