Finding the Third Proportional to 31,200 and 68,230

Step by Step Solution

1. Step 1: Write the proportion equation
   31,200 : 68,230 = 68,230 : x
2. Step 2: Convert to fraction form
   31,200/68,230 = 68,230/x
3. Step 3: Cross multiply
   31,200x = 68,230 × 68,230
4. Step 4: Simplify right side
   31,200x = 4,655,332,900
5. Step 5: Solve for x
   x = 4,655,332,900/31,200
6. Step 6: Final answer
   x = 149,209.39