Finding the Third Proportional to 9,414.56 and 13,768.31

Step by Step Solution

1. Step 1: Write the proportion equation
   9,414.56 : 13,768.31 = 13,768.31 : x
2. Step 2: Convert to fraction form
   9,414.56/13,768.31 = 13,768.31/x
3. Step 3: Cross multiply
   9,414.56x = 13,768.31 × 13,768.31
4. Step 4: Simplify right side
   9,414.56x = 189,566,429.10
5. Step 5: Solve for x
   x = 189,566,429.10/9,414.56
6. Step 6: Final answer
   x = 20,135.45