Finding the Third Proportional to 5,103 and 5,756.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,103 : 5,756.06 = 5,756.06 : x
2. Step 2: Convert to fraction form
   5,103/5,756.06 = 5,756.06/x
3. Step 3: Cross multiply
   5,103x = 5,756.06 × 5,756.06
4. Step 4: Simplify right side
   5,103x = 33,132,255.50
5. Step 5: Solve for x
   x = 33,132,255.50/5,103
6. Step 6: Final answer
   x = 6,492.70