Finding the Third Proportional to 33,535 and 72,339

Step by Step Solution

1. Step 1: Write the proportion equation
   33,535 : 72,339 = 72,339 : x
2. Step 2: Convert to fraction form
   33,535/72,339 = 72,339/x
3. Step 3: Cross multiply
   33,535x = 72,339 × 72,339
4. Step 4: Simplify right side
   33,535x = 5,232,930,921
5. Step 5: Solve for x
   x = 5,232,930,921/33,535
6. Step 6: Final answer
   x = 156,043.86