Finding the Third Proportional to 3,779.72 and 5,863.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,779.72 : 5,863.22 = 5,863.22 : x
2. Step 2: Convert to fraction form
   3,779.72/5,863.22 = 5,863.22/x
3. Step 3: Cross multiply
   3,779.72x = 5,863.22 × 5,863.22
4. Step 4: Simplify right side
   3,779.72x = 34,377,334.11
5. Step 5: Solve for x
   x = 34,377,334.11/3,779.72
6. Step 6: Final answer
   x = 9,095.21