Finding the Third Proportional to 1,922.06 and 2,830.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,922.06 : 2,830.78 = 2,830.78 : x
2. Step 2: Convert to fraction form
   1,922.06/2,830.78 = 2,830.78/x
3. Step 3: Cross multiply
   1,922.06x = 2,830.78 × 2,830.78
4. Step 4: Simplify right side
   1,922.06x = 8,013,322.49
5. Step 5: Solve for x
   x = 8,013,322.49/1,922.06
6. Step 6: Final answer
   x = 4,169.13