Finding the Third Proportional to 5,200 and 5,552

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 5,552 = 5,552 : x
2. Step 2: Convert to fraction form
   5,200/5,552 = 5,552/x
3. Step 3: Cross multiply
   5,200x = 5,552 × 5,552
4. Step 4: Simplify right side
   5,200x = 30,824,704
5. Step 5: Solve for x
   x = 30,824,704/5,200
6. Step 6: Final answer
   x = 5,927.83