Finding the Third Proportional to 1,606.78 and 2,389.92

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.78 : 2,389.92 = 2,389.92 : x
2. Step 2: Convert to fraction form
   1,606.78/2,389.92 = 2,389.92/x
3. Step 3: Cross multiply
   1,606.78x = 2,389.92 × 2,389.92
4. Step 4: Simplify right side
   1,606.78x = 5,711,726.57
5. Step 5: Solve for x
   x = 5,711,726.57/1,606.78
6. Step 6: Final answer
   x = 3,554.76