Finding the Third Proportional to 20,305.50 and 31,826.25

Step by Step Solution

1. Step 1: Write the proportion equation
   20,305.50 : 31,826.25 = 31,826.25 : x
2. Step 2: Convert to fraction form
   20,305.50/31,826.25 = 31,826.25/x
3. Step 3: Cross multiply
   20,305.50x = 31,826.25 × 31,826.25
4. Step 4: Simplify right side
   20,305.50x = 1,012,910,189.06
5. Step 5: Solve for x
   x = 1,012,910,189.06/20,305.50
6. Step 6: Final answer
   x = 49,883.54