Finding the Third Proportional to 2,584.83 and 5,663.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.83 : 5,663.67 = 5,663.67 : x
2. Step 2: Convert to fraction form
   2,584.83/5,663.67 = 5,663.67/x
3. Step 3: Cross multiply
   2,584.83x = 5,663.67 × 5,663.67
4. Step 4: Simplify right side
   2,584.83x = 32,077,179.11
5. Step 5: Solve for x
   x = 32,077,179.11/2,584.83
6. Step 6: Final answer
   x = 12,409.79