Finding the Third Proportional to 2,274.47 and 3,616.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,274.47 : 3,616.88 = 3,616.88 : x
2. Step 2: Convert to fraction form
   2,274.47/3,616.88 = 3,616.88/x
3. Step 3: Cross multiply
   2,274.47x = 3,616.88 × 3,616.88
4. Step 4: Simplify right side
   2,274.47x = 13,081,784.77
5. Step 5: Solve for x
   x = 13,081,784.77/2,274.47
6. Step 6: Final answer
   x = 5,751.58