Finding the Third Proportional to 32,254 and 68,422

Step by Step Solution

1. Step 1: Write the proportion equation
   32,254 : 68,422 = 68,422 : x
2. Step 2: Convert to fraction form
   32,254/68,422 = 68,422/x
3. Step 3: Cross multiply
   32,254x = 68,422 × 68,422
4. Step 4: Simplify right side
   32,254x = 4,681,570,084
5. Step 5: Solve for x
   x = 4,681,570,084/32,254
6. Step 6: Final answer
   x = 145,146.96