Finding the Third Proportional to 12,828.50 and 19,191.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,828.50 : 19,191.25 = 19,191.25 : x
2. Step 2: Convert to fraction form
   12,828.50/19,191.25 = 19,191.25/x
3. Step 3: Cross multiply
   12,828.50x = 19,191.25 × 19,191.25
4. Step 4: Simplify right side
   12,828.50x = 368,304,076.56
5. Step 5: Solve for x
   x = 368,304,076.56/12,828.50
6. Step 6: Final answer
   x = 28,709.83