Finding the Third Proportional to 10,730.81 and 16,315.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,730.81 : 16,315.69 = 16,315.69 : x
2. Step 2: Convert to fraction form
   10,730.81/16,315.69 = 16,315.69/x
3. Step 3: Cross multiply
   10,730.81x = 16,315.69 × 16,315.69
4. Step 4: Simplify right side
   10,730.81x = 266,201,658.60
5. Step 5: Solve for x
   x = 266,201,658.60/10,730.81
6. Step 6: Final answer
   x = 24,807.22