Finding the Third Proportional to 31,302 and 67,518

Step by Step Solution

1. Step 1: Write the proportion equation
   31,302 : 67,518 = 67,518 : x
2. Step 2: Convert to fraction form
   31,302/67,518 = 67,518/x
3. Step 3: Cross multiply
   31,302x = 67,518 × 67,518
4. Step 4: Simplify right side
   31,302x = 4,558,680,324
5. Step 5: Solve for x
   x = 4,558,680,324/31,302
6. Step 6: Final answer
   x = 145,635.43