Finding the Third Proportional to 2,627.44 and 5,642.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.44 : 5,642.16 = 5,642.16 : x
2. Step 2: Convert to fraction form
   2,627.44/5,642.16 = 5,642.16/x
3. Step 3: Cross multiply
   2,627.44x = 5,642.16 × 5,642.16
4. Step 4: Simplify right side
   2,627.44x = 31,833,927.15
5. Step 5: Solve for x
   x = 31,833,927.15/2,627.44
6. Step 6: Final answer
   x = 12,115.96