Finding the Third Proportional to 31,561 and 69,026

Step by Step Solution

1. Step 1: Write the proportion equation
   31,561 : 69,026 = 69,026 : x
2. Step 2: Convert to fraction form
   31,561/69,026 = 69,026/x
3. Step 3: Cross multiply
   31,561x = 69,026 × 69,026
4. Step 4: Simplify right side
   31,561x = 4,764,588,676
5. Step 5: Solve for x
   x = 4,764,588,676/31,561
6. Step 6: Final answer
   x = 150,964.44