Finding the Third Proportional to 10,709.50 and 16,005

Step by Step Solution

1. Step 1: Write the proportion equation
   10,709.50 : 16,005 = 16,005 : x
2. Step 2: Convert to fraction form
   10,709.50/16,005 = 16,005/x
3. Step 3: Cross multiply
   10,709.50x = 16,005 × 16,005
4. Step 4: Simplify right side
   10,709.50x = 256,160,025
5. Step 5: Solve for x
   x = 256,160,025/10,709.50
6. Step 6: Final answer
   x = 23,918.95