Finding the Third Proportional to 33,294 and 71,327

Step by Step Solution

1. Step 1: Write the proportion equation
   33,294 : 71,327 = 71,327 : x
2. Step 2: Convert to fraction form
   33,294/71,327 = 71,327/x
3. Step 3: Cross multiply
   33,294x = 71,327 × 71,327
4. Step 4: Simplify right side
   33,294x = 5,087,540,929
5. Step 5: Solve for x
   x = 5,087,540,929/33,294
6. Step 6: Final answer
   x = 152,806.54