Finding the Third Proportional to 33,647 and 72,868

Step by Step Solution

1. Step 1: Write the proportion equation
   33,647 : 72,868 = 72,868 : x
2. Step 2: Convert to fraction form
   33,647/72,868 = 72,868/x
3. Step 3: Cross multiply
   33,647x = 72,868 × 72,868
4. Step 4: Simplify right side
   33,647x = 5,309,745,424
5. Step 5: Solve for x
   x = 5,309,745,424/33,647
6. Step 6: Final answer
   x = 157,807.40