Finding the Third Proportional to 12,649.50 and 19,338.75

Step by Step Solution

1. Step 1: Write the proportion equation
   12,649.50 : 19,338.75 = 19,338.75 : x
2. Step 2: Convert to fraction form
   12,649.50/19,338.75 = 19,338.75/x
3. Step 3: Cross multiply
   12,649.50x = 19,338.75 × 19,338.75
4. Step 4: Simplify right side
   12,649.50x = 373,987,251.56
5. Step 5: Solve for x
   x = 373,987,251.56/12,649.50
6. Step 6: Final answer
   x = 29,565.38