Finding the Third Proportional to 30,049 and 69,561

Step by Step Solution

1. Step 1: Write the proportion equation
   30,049 : 69,561 = 69,561 : x
2. Step 2: Convert to fraction form
   30,049/69,561 = 69,561/x
3. Step 3: Cross multiply
   30,049x = 69,561 × 69,561
4. Step 4: Simplify right side
   30,049x = 4,838,732,721
5. Step 5: Solve for x
   x = 4,838,732,721/30,049
6. Step 6: Final answer
   x = 161,028.08