Finding the Third Proportional to 31,714 and 68,300

Step by Step Solution

1. Step 1: Write the proportion equation
   31,714 : 68,300 = 68,300 : x
2. Step 2: Convert to fraction form
   31,714/68,300 = 68,300/x
3. Step 3: Cross multiply
   31,714x = 68,300 × 68,300
4. Step 4: Simplify right side
   31,714x = 4,664,890,000
5. Step 5: Solve for x
   x = 4,664,890,000/31,714
6. Step 6: Final answer
   x = 147,092.45