Finding the Third Proportional to 33,570 and 72,292

Step by Step Solution

1. Step 1: Write the proportion equation
   33,570 : 72,292 = 72,292 : x
2. Step 2: Convert to fraction form
   33,570/72,292 = 72,292/x
3. Step 3: Cross multiply
   33,570x = 72,292 × 72,292
4. Step 4: Simplify right side
   33,570x = 5,226,133,264
5. Step 5: Solve for x
   x = 5,226,133,264/33,570
6. Step 6: Final answer
   x = 155,678.68