Finding the Third Proportional to 1,164 and 1,690

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164 : 1,690 = 1,690 : x
2. Step 2: Convert to fraction form
   1,164/1,690 = 1,690/x
3. Step 3: Cross multiply
   1,164x = 1,690 × 1,690
4. Step 4: Simplify right side
   1,164x = 2,856,100
5. Step 5: Solve for x
   x = 2,856,100/1,164
6. Step 6: Final answer
   x = 2,453.69