Finding the Third Proportional to 12,744.50 and 19,386.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,744.50 : 19,386.75 = 19,386.75 : x
2. Step 2: Convert to fraction form
   12,744.50/19,386.75 = 19,386.75/x
3. Step 3: Cross multiply
   12,744.50x = 19,386.75 × 19,386.75
4. Step 4: Simplify right side
   12,744.50x = 375,846,075.56
5. Step 5: Solve for x
   x = 375,846,075.56/12,744.50
6. Step 6: Final answer
   x = 29,490.85