Finding the Third Proportional to 10,819 and 16,345.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,819 : 16,345.50 = 16,345.50 : x
2. Step 2: Convert to fraction form
   10,819/16,345.50 = 16,345.50/x
3. Step 3: Cross multiply
   10,819x = 16,345.50 × 16,345.50
4. Step 4: Simplify right side
   10,819x = 267,175,370.25
5. Step 5: Solve for x
   x = 267,175,370.25/10,819
6. Step 6: Final answer
   x = 24,695.02