Finding the Third Proportional to 1,569.69 and 3,418.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.69 : 3,418.45 = 3,418.45 : x
2. Step 2: Convert to fraction form
   1,569.69/3,418.45 = 3,418.45/x
3. Step 3: Cross multiply
   1,569.69x = 3,418.45 × 3,418.45
4. Step 4: Simplify right side
   1,569.69x = 11,685,821.77
5. Step 5: Solve for x
   x = 11,685,821.77/1,569.69
6. Step 6: Final answer
   x = 7,444.66