Finding the Third Proportional to 1,164 and 1,650

Step by Step Solution

1. Step 1: Write the proportion equation
   1,164 : 1,650 = 1,650 : x
2. Step 2: Convert to fraction form
   1,164/1,650 = 1,650/x
3. Step 3: Cross multiply
   1,164x = 1,650 × 1,650
4. Step 4: Simplify right side
   1,164x = 2,722,500
5. Step 5: Solve for x
   x = 2,722,500/1,164
6. Step 6: Final answer
   x = 2,338.92