Finding the Third Proportional to 31,422 and 68,382

Step by Step Solution

1. Step 1: Write the proportion equation
   31,422 : 68,382 = 68,382 : x
2. Step 2: Convert to fraction form
   31,422/68,382 = 68,382/x
3. Step 3: Cross multiply
   31,422x = 68,382 × 68,382
4. Step 4: Simplify right side
   31,422x = 4,676,097,924
5. Step 5: Solve for x
   x = 4,676,097,924/31,422
6. Step 6: Final answer
   x = 148,816.05