Finding the Third Proportional to 1,608.19 and 2,906.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,608.19 : 2,906.72 = 2,906.72 : x
2. Step 2: Convert to fraction form
   1,608.19/2,906.72 = 2,906.72/x
3. Step 3: Cross multiply
   1,608.19x = 2,906.72 × 2,906.72
4. Step 4: Simplify right side
   1,608.19x = 8,449,013.89
5. Step 5: Solve for x
   x = 8,449,013.89/1,608.19
6. Step 6: Final answer
   x = 5,253.75