Finding the Third Proportional to 3,823.31 and 5,663.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,823.31 : 5,663.91 = 5,663.91 : x
2. Step 2: Convert to fraction form
   3,823.31/5,663.91 = 5,663.91/x
3. Step 3: Cross multiply
   3,823.31x = 5,663.91 × 5,663.91
4. Step 4: Simplify right side
   3,823.31x = 32,079,834.01
5. Step 5: Solve for x
   x = 32,079,834.01/3,823.31
6. Step 6: Final answer
   x = 8,390.59