Finding the Third Proportional to 5,252 and 10,552

Step by Step Solution

1. Step 1: Write the proportion equation
   5,252 : 10,552 = 10,552 : x
2. Step 2: Convert to fraction form
   5,252/10,552 = 10,552/x
3. Step 3: Cross multiply
   5,252x = 10,552 × 10,552
4. Step 4: Simplify right side
   5,252x = 111,344,704
5. Step 5: Solve for x
   x = 111,344,704/5,252
6. Step 6: Final answer
   x = 21,200.44