Finding the Third Proportional to 10,185.75 and 14,964.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 14,964.75 = 14,964.75 : x
2. Step 2: Convert to fraction form
   10,185.75/14,964.75 = 14,964.75/x
3. Step 3: Cross multiply
   10,185.75x = 14,964.75 × 14,964.75
4. Step 4: Simplify right side
   10,185.75x = 223,943,742.56
5. Step 5: Solve for x
   x = 223,943,742.56/10,185.75
6. Step 6: Final answer
   x = 21,985.98