Finding the Third Proportional to 31,869 and 41,899.50

Step by Step Solution

1. Step 1: Write the proportion equation
   31,869 : 41,899.50 = 41,899.50 : x
2. Step 2: Convert to fraction form
   31,869/41,899.50 = 41,899.50/x
3. Step 3: Cross multiply
   31,869x = 41,899.50 × 41,899.50
4. Step 4: Simplify right side
   31,869x = 1,755,568,100.25
5. Step 5: Solve for x
   x = 1,755,568,100.25/31,869
6. Step 6: Final answer
   x = 55,087.02