Finding the Third Proportional to 5,148.56 and 5,756.91

Step by Step Solution

1. Step 1: Write the proportion equation
   5,148.56 : 5,756.91 = 5,756.91 : x
2. Step 2: Convert to fraction form
   5,148.56/5,756.91 = 5,756.91/x
3. Step 3: Cross multiply
   5,148.56x = 5,756.91 × 5,756.91
4. Step 4: Simplify right side
   5,148.56x = 33,141,969.57
5. Step 5: Solve for x
   x = 33,141,969.57/5,148.56
6. Step 6: Final answer
   x = 6,437.13