Finding the Third Proportional to 31,651 and 68,222

Step by Step Solution

1. Step 1: Write the proportion equation
   31,651 : 68,222 = 68,222 : x
2. Step 2: Convert to fraction form
   31,651/68,222 = 68,222/x
3. Step 3: Cross multiply
   31,651x = 68,222 × 68,222
4. Step 4: Simplify right side
   31,651x = 4,654,241,284
5. Step 5: Solve for x
   x = 4,654,241,284/31,651
6. Step 6: Final answer
   x = 147,048.79