Finding the Third Proportional to 31,734 and 69,300

Step by Step Solution

1. Step 1: Write the proportion equation
   31,734 : 69,300 = 69,300 : x
2. Step 2: Convert to fraction form
   31,734/69,300 = 69,300/x
3. Step 3: Cross multiply
   31,734x = 69,300 × 69,300
4. Step 4: Simplify right side
   31,734x = 4,802,490,000
5. Step 5: Solve for x
   x = 4,802,490,000/31,734
6. Step 6: Final answer
   x = 151,335.79