Finding the Third Proportional to 1,255.19 and 2,684.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,255.19 : 2,684.06 = 2,684.06 : x
2. Step 2: Convert to fraction form
   1,255.19/2,684.06 = 2,684.06/x
3. Step 3: Cross multiply
   1,255.19x = 2,684.06 × 2,684.06
4. Step 4: Simplify right side
   1,255.19x = 7,204,191.50
5. Step 5: Solve for x
   x = 7,204,191.50/1,255.19
6. Step 6: Final answer
   x = 5,739.53