Finding the Third Proportional to 31,844 and 69,218

Step by Step Solution

1. Step 1: Write the proportion equation
   31,844 : 69,218 = 69,218 : x
2. Step 2: Convert to fraction form
   31,844/69,218 = 69,218/x
3. Step 3: Cross multiply
   31,844x = 69,218 × 69,218
4. Step 4: Simplify right side
   31,844x = 4,791,131,524
5. Step 5: Solve for x
   x = 4,791,131,524/31,844
6. Step 6: Final answer
   x = 150,456.33