Finding the Third Proportional to 2,663.63 and 3,382.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,663.63 : 3,382.88 = 3,382.88 : x
2. Step 2: Convert to fraction form
   2,663.63/3,382.88 = 3,382.88/x
3. Step 3: Cross multiply
   2,663.63x = 3,382.88 × 3,382.88
4. Step 4: Simplify right side
   2,663.63x = 11,443,843.27
5. Step 5: Solve for x
   x = 11,443,843.27/2,663.63
6. Step 6: Final answer
   x = 4,296.34