Finding the Third Proportional to 1,782.56 and 2,079.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.56 : 2,079.56 = 2,079.56 : x
2. Step 2: Convert to fraction form
   1,782.56/2,079.56 = 2,079.56/x
3. Step 3: Cross multiply
   1,782.56x = 2,079.56 × 2,079.56
4. Step 4: Simplify right side
   1,782.56x = 4,324,580.19
5. Step 5: Solve for x
   x = 4,324,580.19/1,782.56
6. Step 6: Final answer
   x = 2,426.05