Finding the Third Proportional to 2,599.50 and 5,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,599.50 : 5,320.50 = 5,320.50 : x
2. Step 2: Convert to fraction form
   2,599.50/5,320.50 = 5,320.50/x
3. Step 3: Cross multiply
   2,599.50x = 5,320.50 × 5,320.50
4. Step 4: Simplify right side
   2,599.50x = 28,307,720.25
5. Step 5: Solve for x
   x = 28,307,720.25/2,599.50
6. Step 6: Final answer
   x = 10,889.68