Finding the Third Proportional to 33,295 and 72,133

Step by Step Solution

1. Step 1: Write the proportion equation
   33,295 : 72,133 = 72,133 : x
2. Step 2: Convert to fraction form
   33,295/72,133 = 72,133/x
3. Step 3: Cross multiply
   33,295x = 72,133 × 72,133
4. Step 4: Simplify right side
   33,295x = 5,203,169,689
5. Step 5: Solve for x
   x = 5,203,169,689/33,295
6. Step 6: Final answer
   x = 156,274.81