Finding the Third Proportional to 1,837.69 and 3,217.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,837.69 : 3,217.22 = 3,217.22 : x
2. Step 2: Convert to fraction form
   1,837.69/3,217.22 = 3,217.22/x
3. Step 3: Cross multiply
   1,837.69x = 3,217.22 × 3,217.22
4. Step 4: Simplify right side
   1,837.69x = 10,350,496.49
5. Step 5: Solve for x
   x = 10,350,496.49/1,837.69
6. Step 6: Final answer
   x = 5,632.35