Finding the Third Proportional to 1,648 and 1,832

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648 : 1,832 = 1,832 : x
2. Step 2: Convert to fraction form
   1,648/1,832 = 1,832/x
3. Step 3: Cross multiply
   1,648x = 1,832 × 1,832
4. Step 4: Simplify right side
   1,648x = 3,356,224
5. Step 5: Solve for x
   x = 3,356,224/1,648
6. Step 6: Final answer
   x = 2,036.54