Finding the Third Proportional to 12,793.25 and 19,736.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,793.25 : 19,736.75 = 19,736.75 : x
2. Step 2: Convert to fraction form
   12,793.25/19,736.75 = 19,736.75/x
3. Step 3: Cross multiply
   12,793.25x = 19,736.75 × 19,736.75
4. Step 4: Simplify right side
   12,793.25x = 389,539,300.56
5. Step 5: Solve for x
   x = 389,539,300.56/12,793.25
6. Step 6: Final answer
   x = 30,448.81