Finding the Third Proportional to 13,038 and 19,504.50

Step by Step Solution

1. Step 1: Write the proportion equation
   13,038 : 19,504.50 = 19,504.50 : x
2. Step 2: Convert to fraction form
   13,038/19,504.50 = 19,504.50/x
3. Step 3: Cross multiply
   13,038x = 19,504.50 × 19,504.50
4. Step 4: Simplify right side
   13,038x = 380,425,520.25
5. Step 5: Solve for x
   x = 380,425,520.25/13,038
6. Step 6: Final answer
   x = 29,178.21