Finding the Third Proportional to 5,280 and 12,708

Step by Step Solution

1. Step 1: Write the proportion equation
   5,280 : 12,708 = 12,708 : x
2. Step 2: Convert to fraction form
   5,280/12,708 = 12,708/x
3. Step 3: Cross multiply
   5,280x = 12,708 × 12,708
4. Step 4: Simplify right side
   5,280x = 161,493,264
5. Step 5: Solve for x
   x = 161,493,264/5,280
6. Step 6: Final answer
   x = 30,585.85