Finding the Third Proportional to 33,386 and 71,972

Step by Step Solution

1. Step 1: Write the proportion equation
   33,386 : 71,972 = 71,972 : x
2. Step 2: Convert to fraction form
   33,386/71,972 = 71,972/x
3. Step 3: Cross multiply
   33,386x = 71,972 × 71,972
4. Step 4: Simplify right side
   33,386x = 5,179,968,784
5. Step 5: Solve for x
   x = 5,179,968,784/33,386
6. Step 6: Final answer
   x = 155,153.92