Finding the Third Proportional to 1,780 and 1,892

Step by Step Solution

1. Step 1: Write the proportion equation
   1,780 : 1,892 = 1,892 : x
2. Step 2: Convert to fraction form
   1,780/1,892 = 1,892/x
3. Step 3: Cross multiply
   1,780x = 1,892 × 1,892
4. Step 4: Simplify right side
   1,780x = 3,579,664
5. Step 5: Solve for x
   x = 3,579,664/1,780
6. Step 6: Final answer
   x = 2,011.05