Finding the Third Proportional to 31,801 and 69,069

Step by Step Solution

1. Step 1: Write the proportion equation
   31,801 : 69,069 = 69,069 : x
2. Step 2: Convert to fraction form
   31,801/69,069 = 69,069/x
3. Step 3: Cross multiply
   31,801x = 69,069 × 69,069
4. Step 4: Simplify right side
   31,801x = 4,770,526,761
5. Step 5: Solve for x
   x = 4,770,526,761/31,801
6. Step 6: Final answer
   x = 150,011.85