Finding the Third Proportional to 9,684.56 and 14,964.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684.56 : 14,964.75 = 14,964.75 : x
2. Step 2: Convert to fraction form
   9,684.56/14,964.75 = 14,964.75/x
3. Step 3: Cross multiply
   9,684.56x = 14,964.75 × 14,964.75
4. Step 4: Simplify right side
   9,684.56x = 223,943,742.56
5. Step 5: Solve for x
   x = 223,943,742.56/9,684.56
6. Step 6: Final answer
   x = 23,123.79