Finding the Third Proportional to 3,457.69 and 3,822.19

Step by Step Solution

1. Step 1: Write the proportion equation
   3,457.69 : 3,822.19 = 3,822.19 : x
2. Step 2: Convert to fraction form
   3,457.69/3,822.19 = 3,822.19/x
3. Step 3: Cross multiply
   3,457.69x = 3,822.19 × 3,822.19
4. Step 4: Simplify right side
   3,457.69x = 14,609,117.29
5. Step 5: Solve for x
   x = 14,609,117.29/3,457.69
6. Step 6: Final answer
   x = 4,225.11