Finding the Third Proportional to 10,815.19 and 14,564.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,815.19 : 14,564.81 = 14,564.81 : x
2. Step 2: Convert to fraction form
   10,815.19/14,564.81 = 14,564.81/x
3. Step 3: Cross multiply
   10,815.19x = 14,564.81 × 14,564.81
4. Step 4: Simplify right side
   10,815.19x = 212,133,763.16
5. Step 5: Solve for x
   x = 212,133,763.16/10,815.19
6. Step 6: Final answer
   x = 19,614.43