Finding the Third Proportional to 1,212.56 and 2,647.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,212.56 : 2,647.27 = 2,647.27 : x
2. Step 2: Convert to fraction form
   1,212.56/2,647.27 = 2,647.27/x
3. Step 3: Cross multiply
   1,212.56x = 2,647.27 × 2,647.27
4. Step 4: Simplify right side
   1,212.56x = 7,008,015.29
5. Step 5: Solve for x
   x = 7,008,015.29/1,212.56
6. Step 6: Final answer
   x = 5,779.51