Finding the Third Proportional to 20,772 and 31,153.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,772 : 31,153.50 = 31,153.50 : x
2. Step 2: Convert to fraction form
   20,772/31,153.50 = 31,153.50/x
3. Step 3: Cross multiply
   20,772x = 31,153.50 × 31,153.50
4. Step 4: Simplify right side
   20,772x = 970,540,562.25
5. Step 5: Solve for x
   x = 970,540,562.25/20,772
6. Step 6: Final answer
   x = 46,723.50