Finding the Third Proportional to 4,002.75 and 5,342.63

Step by Step Solution

1. Step 1: Write the proportion equation
   4,002.75 : 5,342.63 = 5,342.63 : x
2. Step 2: Convert to fraction form
   4,002.75/5,342.63 = 5,342.63/x
3. Step 3: Cross multiply
   4,002.75x = 5,342.63 × 5,342.63
4. Step 4: Simplify right side
   4,002.75x = 28,543,641.89
5. Step 5: Solve for x
   x = 28,543,641.89/4,002.75
6. Step 6: Final answer
   x = 7,131.01