Finding the Third Proportional to 1,648 and 1,884

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648 : 1,884 = 1,884 : x
2. Step 2: Convert to fraction form
   1,648/1,884 = 1,884/x
3. Step 3: Cross multiply
   1,648x = 1,884 × 1,884
4. Step 4: Simplify right side
   1,648x = 3,549,456
5. Step 5: Solve for x
   x = 3,549,456/1,648
6. Step 6: Final answer
   x = 2,153.80