Finding the Third Proportional to 12,757.50 and 19,416.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,757.50 : 19,416.38 = 19,416.38 : x
2. Step 2: Convert to fraction form
   12,757.50/19,416.38 = 19,416.38/x
3. Step 3: Cross multiply
   12,757.50x = 19,416.38 × 19,416.38
4. Step 4: Simplify right side
   12,757.50x = 376,995,618.14
5. Step 5: Solve for x
   x = 376,995,618.14/12,757.50
6. Step 6: Final answer
   x = 29,550.90