Finding the Third Proportional to 10,585.69 and 14,807.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.69 : 14,807.81 = 14,807.81 : x
2. Step 2: Convert to fraction form
   10,585.69/14,807.81 = 14,807.81/x
3. Step 3: Cross multiply
   10,585.69x = 14,807.81 × 14,807.81
4. Step 4: Simplify right side
   10,585.69x = 219,271,311.04
5. Step 5: Solve for x
   x = 219,271,311.04/10,585.69
6. Step 6: Final answer
   x = 20,713.94