Finding the Third Proportional to 12,853.13 and 19,441.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,853.13 : 19,441.69 = 19,441.69 : x
2. Step 2: Convert to fraction form
   12,853.13/19,441.69 = 19,441.69/x
3. Step 3: Cross multiply
   12,853.13x = 19,441.69 × 19,441.69
4. Step 4: Simplify right side
   12,853.13x = 377,979,212.85
5. Step 5: Solve for x
   x = 377,979,212.85/12,853.13
6. Step 6: Final answer
   x = 29,407.57