Finding the Third Proportional to 31,088 and 49,441

Step by Step Solution

1. Step 1: Write the proportion equation
   31,088 : 49,441 = 49,441 : x
2. Step 2: Convert to fraction form
   31,088/49,441 = 49,441/x
3. Step 3: Cross multiply
   31,088x = 49,441 × 49,441
4. Step 4: Simplify right side
   31,088x = 2,444,412,481
5. Step 5: Solve for x
   x = 2,444,412,481/31,088
6. Step 6: Final answer
   x = 78,628.81