Finding the Third Proportional to 2,224.69 and 3,705.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,224.69 : 3,705.47 = 3,705.47 : x
2. Step 2: Convert to fraction form
   2,224.69/3,705.47 = 3,705.47/x
3. Step 3: Cross multiply
   2,224.69x = 3,705.47 × 3,705.47
4. Step 4: Simplify right side
   2,224.69x = 13,730,498.66
5. Step 5: Solve for x
   x = 13,730,498.66/2,224.69
6. Step 6: Final answer
   x = 6,171.88