Finding the Third Proportional to 3,152.36 and 7,569.07

Step by Step Solution

1. Step 1: Write the proportion equation
   3,152.36 : 7,569.07 = 7,569.07 : x
2. Step 2: Convert to fraction form
   3,152.36/7,569.07 = 7,569.07/x
3. Step 3: Cross multiply
   3,152.36x = 7,569.07 × 7,569.07
4. Step 4: Simplify right side
   3,152.36x = 57,290,825.40
5. Step 5: Solve for x
   x = 57,290,825.40/3,152.36
6. Step 6: Final answer
   x = 18,173.97