Finding the Third Proportional to 1,616.63 and 2,105.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,616.63 : 2,105.30 = 2,105.30 : x
2. Step 2: Convert to fraction form
   1,616.63/2,105.30 = 2,105.30/x
3. Step 3: Cross multiply
   1,616.63x = 2,105.30 × 2,105.30
4. Step 4: Simplify right side
   1,616.63x = 4,432,274.93
5. Step 5: Solve for x
   x = 4,432,274.93/1,616.63
6. Step 6: Final answer
   x = 2,741.68