Finding the Third Proportional to 12,792 and 19,497.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,792 : 19,497.75 = 19,497.75 : x
2. Step 2: Convert to fraction form
   12,792/19,497.75 = 19,497.75/x
3. Step 3: Cross multiply
   12,792x = 19,497.75 × 19,497.75
4. Step 4: Simplify right side
   12,792x = 380,162,255.06
5. Step 5: Solve for x
   x = 380,162,255.06/12,792
6. Step 6: Final answer
   x = 29,718.75