Finding the Third Proportional to 2,566.50 and 5,613

Step by Step Solution

1. Step 1: Write the proportion equation
   2,566.50 : 5,613 = 5,613 : x
2. Step 2: Convert to fraction form
   2,566.50/5,613 = 5,613/x
3. Step 3: Cross multiply
   2,566.50x = 5,613 × 5,613
4. Step 4: Simplify right side
   2,566.50x = 31,505,769
5. Step 5: Solve for x
   x = 31,505,769/2,566.50
6. Step 6: Final answer
   x = 12,275.77