Finding the Third Proportional to 5,152 and 5,680

Step by Step Solution

1. Step 1: Write the proportion equation
   5,152 : 5,680 = 5,680 : x
2. Step 2: Convert to fraction form
   5,152/5,680 = 5,680/x
3. Step 3: Cross multiply
   5,152x = 5,680 × 5,680
4. Step 4: Simplify right side
   5,152x = 32,262,400
5. Step 5: Solve for x
   x = 32,262,400/5,152
6. Step 6: Final answer
   x = 6,262.11