Finding the Third Proportional to 9,792.25 and 14,931.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,792.25 : 14,931.75 = 14,931.75 : x
2. Step 2: Convert to fraction form
   9,792.25/14,931.75 = 14,931.75/x
3. Step 3: Cross multiply
   9,792.25x = 14,931.75 × 14,931.75
4. Step 4: Simplify right side
   9,792.25x = 222,957,158.06
5. Step 5: Solve for x
   x = 222,957,158.06/9,792.25
6. Step 6: Final answer
   x = 22,768.74