Finding the Third Proportional to 5,137.17 and 5,752.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,137.17 : 5,752.27 = 5,752.27 : x
2. Step 2: Convert to fraction form
   5,137.17/5,752.27 = 5,752.27/x
3. Step 3: Cross multiply
   5,137.17x = 5,752.27 × 5,752.27
4. Step 4: Simplify right side
   5,137.17x = 33,088,559.82
5. Step 5: Solve for x
   x = 33,088,559.82/5,137.17
6. Step 6: Final answer
   x = 6,441.01