Finding the Third Proportional to 1,196 and 1,758

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196 : 1,758 = 1,758 : x
2. Step 2: Convert to fraction form
   1,196/1,758 = 1,758/x
3. Step 3: Cross multiply
   1,196x = 1,758 × 1,758
4. Step 4: Simplify right side
   1,196x = 3,090,564
5. Step 5: Solve for x
   x = 3,090,564/1,196
6. Step 6: Final answer
   x = 2,584.08