Finding the Third Proportional to 1,786 and 1,846

Step by Step Solution

1. Step 1: Write the proportion equation
   1,786 : 1,846 = 1,846 : x
2. Step 2: Convert to fraction form
   1,786/1,846 = 1,846/x
3. Step 3: Cross multiply
   1,786x = 1,846 × 1,846
4. Step 4: Simplify right side
   1,786x = 3,407,716
5. Step 5: Solve for x
   x = 3,407,716/1,786
6. Step 6: Final answer
   x = 1,908.02