Finding the Third Proportional to 1,569.94 and 2,322.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,569.94 : 2,322.28 = 2,322.28 : x
2. Step 2: Convert to fraction form
   1,569.94/2,322.28 = 2,322.28/x
3. Step 3: Cross multiply
   1,569.94x = 2,322.28 × 2,322.28
4. Step 4: Simplify right side
   1,569.94x = 5,392,990.20
5. Step 5: Solve for x
   x = 5,392,990.20/1,569.94
6. Step 6: Final answer
   x = 3,435.16