Finding the Third Proportional to 1,767 and 1,884

Step by Step Solution

1. Step 1: Write the proportion equation
   1,767 : 1,884 = 1,884 : x
2. Step 2: Convert to fraction form
   1,767/1,884 = 1,884/x
3. Step 3: Cross multiply
   1,767x = 1,884 × 1,884
4. Step 4: Simplify right side
   1,767x = 3,549,456
5. Step 5: Solve for x
   x = 3,549,456/1,767
6. Step 6: Final answer
   x = 2,008.75