Finding the Third Proportional to 31,494 and 68,436

Step by Step Solution

1. Step 1: Write the proportion equation
   31,494 : 68,436 = 68,436 : x
2. Step 2: Convert to fraction form
   31,494/68,436 = 68,436/x
3. Step 3: Cross multiply
   31,494x = 68,436 × 68,436
4. Step 4: Simplify right side
   31,494x = 4,683,486,096
5. Step 5: Solve for x
   x = 4,683,486,096/31,494
6. Step 6: Final answer
   x = 148,710.42