Finding the Third Proportional to 12,772.69 and 19,496.32

Step by Step Solution

1. Step 1: Write the proportion equation
   12,772.69 : 19,496.32 = 19,496.32 : x
2. Step 2: Convert to fraction form
   12,772.69/19,496.32 = 19,496.32/x
3. Step 3: Cross multiply
   12,772.69x = 19,496.32 × 19,496.32
4. Step 4: Simplify right side
   12,772.69x = 380,106,505.73
5. Step 5: Solve for x
   x = 380,106,505.73/12,772.69
6. Step 6: Final answer
   x = 29,759.32