Finding the Third Proportional to 20,506.50 and 31,306.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,506.50 : 31,306.50 = 31,306.50 : x
2. Step 2: Convert to fraction form
   20,506.50/31,306.50 = 31,306.50/x
3. Step 3: Cross multiply
   20,506.50x = 31,306.50 × 31,306.50
4. Step 4: Simplify right side
   20,506.50x = 980,096,942.25
5. Step 5: Solve for x
   x = 980,096,942.25/20,506.50
6. Step 6: Final answer
   x = 47,794.45