Finding the Third Proportional to 31,548 and 69,000

Step by Step Solution

1. Step 1: Write the proportion equation
   31,548 : 69,000 = 69,000 : x
2. Step 2: Convert to fraction form
   31,548/69,000 = 69,000/x
3. Step 3: Cross multiply
   31,548x = 69,000 × 69,000
4. Step 4: Simplify right side
   31,548x = 4,761,000,000
5. Step 5: Solve for x
   x = 4,761,000,000/31,548
6. Step 6: Final answer
   x = 150,912.89