Finding the Third Proportional to 20,398 and 31,200.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,398 : 31,200.50 = 31,200.50 : x
2. Step 2: Convert to fraction form
   20,398/31,200.50 = 31,200.50/x
3. Step 3: Cross multiply
   20,398x = 31,200.50 × 31,200.50
4. Step 4: Simplify right side
   20,398x = 973,471,200.25
5. Step 5: Solve for x
   x = 973,471,200.25/20,398
6. Step 6: Final answer
   x = 47,723.86