Finding the Third Proportional to 32,140 and 46,422

Step by Step Solution

1. Step 1: Write the proportion equation
   32,140 : 46,422 = 46,422 : x
2. Step 2: Convert to fraction form
   32,140/46,422 = 46,422/x
3. Step 3: Cross multiply
   32,140x = 46,422 × 46,422
4. Step 4: Simplify right side
   32,140x = 2,155,002,084
5. Step 5: Solve for x
   x = 2,155,002,084/32,140
6. Step 6: Final answer
   x = 67,050.47