Finding the Third Proportional to 10,056.75 and 14,792.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,056.75 : 14,792.25 = 14,792.25 : x
2. Step 2: Convert to fraction form
   10,056.75/14,792.25 = 14,792.25/x
3. Step 3: Cross multiply
   10,056.75x = 14,792.25 × 14,792.25
4. Step 4: Simplify right side
   10,056.75x = 218,810,660.06
5. Step 5: Solve for x
   x = 218,810,660.06/10,056.75
6. Step 6: Final answer
   x = 21,757.59