Finding the Third Proportional to 4,792.61 and 7,569.07

Step by Step Solution

1. Step 1: Write the proportion equation
   4,792.61 : 7,569.07 = 7,569.07 : x
2. Step 2: Convert to fraction form
   4,792.61/7,569.07 = 7,569.07/x
3. Step 3: Cross multiply
   4,792.61x = 7,569.07 × 7,569.07
4. Step 4: Simplify right side
   4,792.61x = 57,290,825.40
5. Step 5: Solve for x
   x = 57,290,825.40/4,792.61
6. Step 6: Final answer
   x = 11,954.00