Finding the Third Proportional to 20,228 and 31,406.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,228 : 31,406.50 = 31,406.50 : x
2. Step 2: Convert to fraction form
   20,228/31,406.50 = 31,406.50/x
3. Step 3: Cross multiply
   20,228x = 31,406.50 × 31,406.50
4. Step 4: Simplify right side
   20,228x = 986,368,242.25
5. Step 5: Solve for x
   x = 986,368,242.25/20,228
6. Step 6: Final answer
   x = 48,762.52