Finding the Third Proportional to 1,068.24 and 1,616.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,068.24 : 1,616.63 = 1,616.63 : x
2. Step 2: Convert to fraction form
   1,068.24/1,616.63 = 1,616.63/x
3. Step 3: Cross multiply
   1,068.24x = 1,616.63 × 1,616.63
4. Step 4: Simplify right side
   1,068.24x = 2,613,476.39
5. Step 5: Solve for x
   x = 2,613,476.39/1,068.24
6. Step 6: Final answer
   x = 2,446.52