Finding the Third Proportional to 1,206.56 and 2,647.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,206.56 : 2,647.88 = 2,647.88 : x
2. Step 2: Convert to fraction form
   1,206.56/2,647.88 = 2,647.88/x
3. Step 3: Cross multiply
   1,206.56x = 2,647.88 × 2,647.88
4. Step 4: Simplify right side
   1,206.56x = 7,011,242.02
5. Step 5: Solve for x
   x = 7,011,242.02/1,206.56
6. Step 6: Final answer
   x = 5,810.92