Finding the Third Proportional to 1,664.93 and 3,854.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,664.93 : 3,854.78 = 3,854.78 : x
2. Step 2: Convert to fraction form
   1,664.93/3,854.78 = 3,854.78/x
3. Step 3: Cross multiply
   1,664.93x = 3,854.78 × 3,854.78
4. Step 4: Simplify right side
   1,664.93x = 14,859,308.37
5. Step 5: Solve for x
   x = 14,859,308.37/1,664.93
6. Step 6: Final answer
   x = 8,924.89