Finding the Third Proportional to 3,214.69 and 3,457.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,214.69 : 3,457.69 = 3,457.69 : x
2. Step 2: Convert to fraction form
   3,214.69/3,457.69 = 3,457.69/x
3. Step 3: Cross multiply
   3,214.69x = 3,457.69 × 3,457.69
4. Step 4: Simplify right side
   3,214.69x = 11,955,602.85
5. Step 5: Solve for x
   x = 11,955,602.85/3,214.69
6. Step 6: Final answer
   x = 3,719.06