Finding the Third Proportional to 12,838.50 and 19,434.94

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838.50 : 19,434.94 = 19,434.94 : x
2. Step 2: Convert to fraction form
   12,838.50/19,434.94 = 19,434.94/x
3. Step 3: Cross multiply
   12,838.50x = 19,434.94 × 19,434.94
4. Step 4: Simplify right side
   12,838.50x = 377,716,795.63
5. Step 5: Solve for x
   x = 377,716,795.63/12,838.50
6. Step 6: Final answer
   x = 29,420.63