Finding the Third Proportional to 13,819.50 and 21,138.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,819.50 : 21,138.75 = 21,138.75 : x
2. Step 2: Convert to fraction form
   13,819.50/21,138.75 = 21,138.75/x
3. Step 3: Cross multiply
   13,819.50x = 21,138.75 × 21,138.75
4. Step 4: Simplify right side
   13,819.50x = 446,846,751.56
5. Step 5: Solve for x
   x = 446,846,751.56/13,819.50
6. Step 6: Final answer
   x = 32,334.51