Finding the Third Proportional to 2,592.94 and 5,689.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,592.94 : 5,689.88 = 5,689.88 : x
2. Step 2: Convert to fraction form
   2,592.94/5,689.88 = 5,689.88/x
3. Step 3: Cross multiply
   2,592.94x = 5,689.88 × 5,689.88
4. Step 4: Simplify right side
   2,592.94x = 32,374,677.52
5. Step 5: Solve for x
   x = 32,374,677.52/2,592.94
6. Step 6: Final answer
   x = 12,485.71