Finding the Third Proportional to 12,865.50 and 19,434.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,865.50 : 19,434.38 = 19,434.38 : x
2. Step 2: Convert to fraction form
   12,865.50/19,434.38 = 19,434.38/x
3. Step 3: Cross multiply
   12,865.50x = 19,434.38 × 19,434.38
4. Step 4: Simplify right side
   12,865.50x = 377,694,931.64
5. Step 5: Solve for x
   x = 377,694,931.64/12,865.50
6. Step 6: Final answer
   x = 29,357.19