Finding the Third Proportional to 2,594.53 and 5,627.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,594.53 : 5,627.81 = 5,627.81 : x
2. Step 2: Convert to fraction form
   2,594.53/5,627.81 = 5,627.81/x
3. Step 3: Cross multiply
   2,594.53x = 5,627.81 × 5,627.81
4. Step 4: Simplify right side
   2,594.53x = 31,672,273.54
5. Step 5: Solve for x
   x = 31,672,273.54/2,594.53
6. Step 6: Final answer
   x = 12,207.32