Finding the Third Proportional to 42,196 and 65,422

Step by Step Solution

1. Step 1: Write the proportion equation
   42,196 : 65,422 = 65,422 : x
2. Step 2: Convert to fraction form
   42,196/65,422 = 65,422/x
3. Step 3: Cross multiply
   42,196x = 65,422 × 65,422
4. Step 4: Simplify right side
   42,196x = 4,280,038,084
5. Step 5: Solve for x
   x = 4,280,038,084/42,196
6. Step 6: Final answer
   x = 101,432.32