Finding the Third Proportional to 5,663.81 and 8,488.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.81 : 8,488.69 = 8,488.69 : x
2. Step 2: Convert to fraction form
   5,663.81/8,488.69 = 8,488.69/x
3. Step 3: Cross multiply
   5,663.81x = 8,488.69 × 8,488.69
4. Step 4: Simplify right side
   5,663.81x = 72,057,815.47
5. Step 5: Solve for x
   x = 72,057,815.47/5,663.81
6. Step 6: Final answer
   x = 12,722.49