Finding the Third Proportional to 17,744.06 and 23,778.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,744.06 : 23,778.56 = 23,778.56 : x
2. Step 2: Convert to fraction form
   17,744.06/23,778.56 = 23,778.56/x
3. Step 3: Cross multiply
   17,744.06x = 23,778.56 × 23,778.56
4. Step 4: Simplify right side
   17,744.06x = 565,420,034.57
5. Step 5: Solve for x
   x = 565,420,034.57/17,744.06
6. Step 6: Final answer
   x = 31,865.31