Finding the Third Proportional to 2,591.63 and 5,592.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,591.63 : 5,592.75 = 5,592.75 : x
2. Step 2: Convert to fraction form
   2,591.63/5,592.75 = 5,592.75/x
3. Step 3: Cross multiply
   2,591.63x = 5,592.75 × 5,592.75
4. Step 4: Simplify right side
   2,591.63x = 31,278,852.56
5. Step 5: Solve for x
   x = 31,278,852.56/2,591.63
6. Step 6: Final answer
   x = 12,069.20