Finding the Third Proportional to 2,577.38 and 5,594.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,577.38 : 5,594.63 = 5,594.63 : x
2. Step 2: Convert to fraction form
   2,577.38/5,594.63 = 5,594.63/x
3. Step 3: Cross multiply
   2,577.38x = 5,594.63 × 5,594.63
4. Step 4: Simplify right side
   2,577.38x = 31,299,828.89
5. Step 5: Solve for x
   x = 31,299,828.89/2,577.38
6. Step 6: Final answer
   x = 12,144.07