Finding the Third Proportional to 31,845 and 69,441

Step by Step Solution

1. Step 1: Write the proportion equation
   31,845 : 69,441 = 69,441 : x
2. Step 2: Convert to fraction form
   31,845/69,441 = 69,441/x
3. Step 3: Cross multiply
   31,845x = 69,441 × 69,441
4. Step 4: Simplify right side
   31,845x = 4,822,052,481
5. Step 5: Solve for x
   x = 4,822,052,481/31,845
6. Step 6: Final answer
   x = 151,422.59