Finding the Third Proportional to 10,709 and 15,967

Step by Step Solution

1. Step 1: Write the proportion equation
   10,709 : 15,967 = 15,967 : x
2. Step 2: Convert to fraction form
   10,709/15,967 = 15,967/x
3. Step 3: Cross multiply
   10,709x = 15,967 × 15,967
4. Step 4: Simplify right side
   10,709x = 254,945,089
5. Step 5: Solve for x
   x = 254,945,089/10,709
6. Step 6: Final answer
   x = 23,806.62