Finding the Third Proportional to 2,569.50 and 5,528.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.50 : 5,528.63 = 5,528.63 : x
2. Step 2: Convert to fraction form
   2,569.50/5,528.63 = 5,528.63/x
3. Step 3: Cross multiply
   2,569.50x = 5,528.63 × 5,528.63
4. Step 4: Simplify right side
   2,569.50x = 30,565,694.39
5. Step 5: Solve for x
   x = 30,565,694.39/2,569.50
6. Step 6: Final answer
   x = 11,895.58