Finding the Third Proportional to 12,769.50 and 19,423.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769.50 : 19,423.50 = 19,423.50 : x
2. Step 2: Convert to fraction form
   12,769.50/19,423.50 = 19,423.50/x
3. Step 3: Cross multiply
   12,769.50x = 19,423.50 × 19,423.50
4. Step 4: Simplify right side
   12,769.50x = 377,272,352.25
5. Step 5: Solve for x
   x = 377,272,352.25/12,769.50
6. Step 6: Final answer
   x = 29,544.80