Finding the Third Proportional to 1,076 and 1,836

Step by Step Solution

1. Step 1: Write the proportion equation
   1,076 : 1,836 = 1,836 : x
2. Step 2: Convert to fraction form
   1,076/1,836 = 1,836/x
3. Step 3: Cross multiply
   1,076x = 1,836 × 1,836
4. Step 4: Simplify right side
   1,076x = 3,370,896
5. Step 5: Solve for x
   x = 3,370,896/1,076
6. Step 6: Final answer
   x = 3,132.80