Finding the Third Proportional to 2,433.38 and 5,342.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,433.38 : 5,342.63 = 5,342.63 : x
2. Step 2: Convert to fraction form
   2,433.38/5,342.63 = 5,342.63/x
3. Step 3: Cross multiply
   2,433.38x = 5,342.63 × 5,342.63
4. Step 4: Simplify right side
   2,433.38x = 28,543,641.89
5. Step 5: Solve for x
   x = 28,543,641.89/2,433.38
6. Step 6: Final answer
   x = 11,730.06