Finding the Third Proportional to 2,280 and 5,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,280 : 5,566.50 = 5,566.50 : x
2. Step 2: Convert to fraction form
   2,280/5,566.50 = 5,566.50/x
3. Step 3: Cross multiply
   2,280x = 5,566.50 × 5,566.50
4. Step 4: Simplify right side
   2,280x = 30,985,922.25
5. Step 5: Solve for x
   x = 30,985,922.25/2,280
6. Step 6: Final answer
   x = 13,590.32