Finding the Third Proportional to 5,780 and 12,280

Step by Step Solution

1. Step 1: Write the proportion equation
   5,780 : 12,280 = 12,280 : x
2. Step 2: Convert to fraction form
   5,780/12,280 = 12,280/x
3. Step 3: Cross multiply
   5,780x = 12,280 × 12,280
4. Step 4: Simplify right side
   5,780x = 150,798,400
5. Step 5: Solve for x
   x = 150,798,400/5,780
6. Step 6: Final answer
   x = 26,089.69