Finding the Third Proportional to 31,674.38 and 69,882.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,674.38 : 69,882.75 = 69,882.75 : x
2. Step 2: Convert to fraction form
   31,674.38/69,882.75 = 69,882.75/x
3. Step 3: Cross multiply
   31,674.38x = 69,882.75 × 69,882.75
4. Step 4: Simplify right side
   31,674.38x = 4,883,598,747.56
5. Step 5: Solve for x
   x = 4,883,598,747.56/31,674.38
6. Step 6: Final answer
   x = 154,181.38