Finding the Third Proportional to 20,416.50 and 31,812.75

Step by Step Solution

1. Step 1: Write the proportion equation
   20,416.50 : 31,812.75 = 31,812.75 : x
2. Step 2: Convert to fraction form
   20,416.50/31,812.75 = 31,812.75/x
3. Step 3: Cross multiply
   20,416.50x = 31,812.75 × 31,812.75
4. Step 4: Simplify right side
   20,416.50x = 1,012,051,062.56
5. Step 5: Solve for x
   x = 1,012,051,062.56/20,416.50
6. Step 6: Final answer
   x = 49,570.25