Finding the Third Proportional to 1,610 and 1,764

Step by Step Solution

1. Step 1: Write the proportion equation
   1,610 : 1,764 = 1,764 : x
2. Step 2: Convert to fraction form
   1,610/1,764 = 1,764/x
3. Step 3: Cross multiply
   1,610x = 1,764 × 1,764
4. Step 4: Simplify right side
   1,610x = 3,111,696
5. Step 5: Solve for x
   x = 3,111,696/1,610
6. Step 6: Final answer
   x = 1,932.73