Finding the Third Proportional to 31,370 and 67,288

Step by Step Solution

1. Step 1: Write the proportion equation
   31,370 : 67,288 = 67,288 : x
2. Step 2: Convert to fraction form
   31,370/67,288 = 67,288/x
3. Step 3: Cross multiply
   31,370x = 67,288 × 67,288
4. Step 4: Simplify right side
   31,370x = 4,527,674,944
5. Step 5: Solve for x
   x = 4,527,674,944/31,370
6. Step 6: Final answer
   x = 144,331.37