Finding the Third Proportional to 10,369.13 and 16,012.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,369.13 : 16,012.69 = 16,012.69 : x
2. Step 2: Convert to fraction form
   10,369.13/16,012.69 = 16,012.69/x
3. Step 3: Cross multiply
   10,369.13x = 16,012.69 × 16,012.69
4. Step 4: Simplify right side
   10,369.13x = 256,406,160.97
5. Step 5: Solve for x
   x = 256,406,160.97/10,369.13
6. Step 6: Final answer
   x = 24,727.85