Finding the Third Proportional to 1,188 and 1,790

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188 : 1,790 = 1,790 : x
2. Step 2: Convert to fraction form
   1,188/1,790 = 1,790/x
3. Step 3: Cross multiply
   1,188x = 1,790 × 1,790
4. Step 4: Simplify right side
   1,188x = 3,204,100
5. Step 5: Solve for x
   x = 3,204,100/1,188
6. Step 6: Final answer
   x = 2,697.05