Finding the Third Proportional to 3,748.78 and 5,329.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,748.78 : 5,329.55 = 5,329.55 : x
2. Step 2: Convert to fraction form
   3,748.78/5,329.55 = 5,329.55/x
3. Step 3: Cross multiply
   3,748.78x = 5,329.55 × 5,329.55
4. Step 4: Simplify right side
   3,748.78x = 28,404,069.89
5. Step 5: Solve for x
   x = 28,404,069.89/3,748.78
6. Step 6: Final answer
   x = 7,576.88