Finding the Third Proportional to 2,602.69 and 5,311.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,602.69 : 5,311.13 = 5,311.13 : x
2. Step 2: Convert to fraction form
   2,602.69/5,311.13 = 5,311.13/x
3. Step 3: Cross multiply
   2,602.69x = 5,311.13 × 5,311.13
4. Step 4: Simplify right side
   2,602.69x = 28,208,048.77
5. Step 5: Solve for x
   x = 28,208,048.77/2,602.69
6. Step 6: Final answer
   x = 10,838.05