Finding the Third Proportional to 11,792.25 and 25,629.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,792.25 : 25,629.75 = 25,629.75 : x
2. Step 2: Convert to fraction form
   11,792.25/25,629.75 = 25,629.75/x
3. Step 3: Cross multiply
   11,792.25x = 25,629.75 × 25,629.75
4. Step 4: Simplify right side
   11,792.25x = 656,884,085.06
5. Step 5: Solve for x
   x = 656,884,085.06/11,792.25
6. Step 6: Final answer
   x = 55,704.73