Finding the Third Proportional to 1,966.78 and 2,149.03

Step by Step Solution

1. Step 1: Write the proportion equation
   1,966.78 : 2,149.03 = 2,149.03 : x
2. Step 2: Convert to fraction form
   1,966.78/2,149.03 = 2,149.03/x
3. Step 3: Cross multiply
   1,966.78x = 2,149.03 × 2,149.03
4. Step 4: Simplify right side
   1,966.78x = 4,618,335.31
5. Step 5: Solve for x
   x = 4,618,335.31/1,966.78
6. Step 6: Final answer
   x = 2,348.17