Finding the Third Proportional to 12,826.50 and 19,277.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,826.50 : 19,277.25 = 19,277.25 : x
2. Step 2: Convert to fraction form
   12,826.50/19,277.25 = 19,277.25/x
3. Step 3: Cross multiply
   12,826.50x = 19,277.25 × 19,277.25
4. Step 4: Simplify right side
   12,826.50x = 371,612,367.56
5. Step 5: Solve for x
   x = 371,612,367.56/12,826.50
6. Step 6: Final answer
   x = 28,972.23