Finding the Third Proportional to 2,404.69 and 5,564.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,404.69 : 5,564.53 = 5,564.53 : x
2. Step 2: Convert to fraction form
   2,404.69/5,564.53 = 5,564.53/x
3. Step 3: Cross multiply
   2,404.69x = 5,564.53 × 5,564.53
4. Step 4: Simplify right side
   2,404.69x = 30,964,008.03
5. Step 5: Solve for x
   x = 30,964,008.03/2,404.69
6. Step 6: Final answer
   x = 12,876.52