Finding the Third Proportional to 33,427 and 72,306

Step by Step Solution

1. Step 1: Write the proportion equation
   33,427 : 72,306 = 72,306 : x
2. Step 2: Convert to fraction form
   33,427/72,306 = 72,306/x
3. Step 3: Cross multiply
   33,427x = 72,306 × 72,306
4. Step 4: Simplify right side
   33,427x = 5,228,157,636
5. Step 5: Solve for x
   x = 5,228,157,636/33,427
6. Step 6: Final answer
   x = 156,405.23