Finding the Third Proportional to 2,562.89 and 5,343.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.89 : 5,343.47 = 5,343.47 : x
2. Step 2: Convert to fraction form
   2,562.89/5,343.47 = 5,343.47/x
3. Step 3: Cross multiply
   2,562.89x = 5,343.47 × 5,343.47
4. Step 4: Simplify right side
   2,562.89x = 28,552,658.28
5. Step 5: Solve for x
   x = 28,552,658.28/2,562.89
6. Step 6: Final answer
   x = 11,140.80