Finding the Third Proportional to 33,538 and 72,348

Step by Step Solution

1. Step 1: Write the proportion equation
   33,538 : 72,348 = 72,348 : x
2. Step 2: Convert to fraction form
   33,538/72,348 = 72,348/x
3. Step 3: Cross multiply
   33,538x = 72,348 × 72,348
4. Step 4: Simplify right side
   33,538x = 5,234,233,104
5. Step 5: Solve for x
   x = 5,234,233,104/33,538
6. Step 6: Final answer
   x = 156,068.73