Finding the Third Proportional to 5,200 and 5,788

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 5,788 = 5,788 : x
2. Step 2: Convert to fraction form
   5,200/5,788 = 5,788/x
3. Step 3: Cross multiply
   5,200x = 5,788 × 5,788
4. Step 4: Simplify right side
   5,200x = 33,500,944
5. Step 5: Solve for x
   x = 33,500,944/5,200
6. Step 6: Final answer
   x = 6,442.49