Finding the Third Proportional to 1,616.63 and 2,194.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,616.63 : 2,194.88 = 2,194.88 : x
2. Step 2: Convert to fraction form
   1,616.63/2,194.88 = 2,194.88/x
3. Step 3: Cross multiply
   1,616.63x = 2,194.88 × 2,194.88
4. Step 4: Simplify right side
   1,616.63x = 4,817,476.27
5. Step 5: Solve for x
   x = 4,817,476.27/1,616.63
6. Step 6: Final answer
   x = 2,979.96