Finding the Third Proportional to 31,678 and 69,295

Step by Step Solution

1. Step 1: Write the proportion equation
   31,678 : 69,295 = 69,295 : x
2. Step 2: Convert to fraction form
   31,678/69,295 = 69,295/x
3. Step 3: Cross multiply
   31,678x = 69,295 × 69,295
4. Step 4: Simplify right side
   31,678x = 4,801,797,025
5. Step 5: Solve for x
   x = 4,801,797,025/31,678
6. Step 6: Final answer
   x = 151,581.45