Finding the Third Proportional to 1,179 and 1,826.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,179 : 1,826.25 = 1,826.25 : x
2. Step 2: Convert to fraction form
   1,179/1,826.25 = 1,826.25/x
3. Step 3: Cross multiply
   1,179x = 1,826.25 × 1,826.25
4. Step 4: Simplify right side
   1,179x = 3,335,189.06
5. Step 5: Solve for x
   x = 3,335,189.06/1,179
6. Step 6: Final answer
   x = 2,828.83