Finding the Third Proportional to 2,565.38 and 5,531.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.38 : 5,531.63 = 5,531.63 : x
2. Step 2: Convert to fraction form
   2,565.38/5,531.63 = 5,531.63/x
3. Step 3: Cross multiply
   2,565.38x = 5,531.63 × 5,531.63
4. Step 4: Simplify right side
   2,565.38x = 30,598,875.14
5. Step 5: Solve for x
   x = 30,598,875.14/2,565.38
6. Step 6: Final answer
   x = 11,927.64