Finding the Third Proportional to 2,595.64 and 5,531.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,595.64 : 5,531.10 = 5,531.10 : x
2. Step 2: Convert to fraction form
   2,595.64/5,531.10 = 5,531.10/x
3. Step 3: Cross multiply
   2,595.64x = 5,531.10 × 5,531.10
4. Step 4: Simplify right side
   2,595.64x = 30,593,041.28
5. Step 5: Solve for x
   x = 30,593,041.28/2,595.64
6. Step 6: Final answer
   x = 11,786.33