Finding the Third Proportional to 23,509 and 33,967

Step by Step Solution

1. Step 1: Write the proportion equation
   23,509 : 33,967 = 33,967 : x
2. Step 2: Convert to fraction form
   23,509/33,967 = 33,967/x
3. Step 3: Cross multiply
   23,509x = 33,967 × 33,967
4. Step 4: Simplify right side
   23,509x = 1,153,757,089
5. Step 5: Solve for x
   x = 1,153,757,089/23,509
6. Step 6: Final answer
   x = 49,077.25