Finding the Third Proportional to 31,142 and 64,500

Step by Step Solution

1. Step 1: Write the proportion equation
   31,142 : 64,500 = 64,500 : x
2. Step 2: Convert to fraction form
   31,142/64,500 = 64,500/x
3. Step 3: Cross multiply
   31,142x = 64,500 × 64,500
4. Step 4: Simplify right side
   31,142x = 4,160,250,000
5. Step 5: Solve for x
   x = 4,160,250,000/31,142
6. Step 6: Final answer
   x = 133,589.69