Finding the Third Proportional to 12,839.25 and 19,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,839.25 : 19,207.50 = 19,207.50 : x
2. Step 2: Convert to fraction form
   12,839.25/19,207.50 = 19,207.50/x
3. Step 3: Cross multiply
   12,839.25x = 19,207.50 × 19,207.50
4. Step 4: Simplify right side
   12,839.25x = 368,928,056.25
5. Step 5: Solve for x
   x = 368,928,056.25/12,839.25
6. Step 6: Final answer
   x = 28,734.39