Finding the Third Proportional to 33,338 and 72,214

Step by Step Solution

1. Step 1: Write the proportion equation
   33,338 : 72,214 = 72,214 : x
2. Step 2: Convert to fraction form
   33,338/72,214 = 72,214/x
3. Step 3: Cross multiply
   33,338x = 72,214 × 72,214
4. Step 4: Simplify right side
   33,338x = 5,214,861,796
5. Step 5: Solve for x
   x = 5,214,861,796/33,338
6. Step 6: Final answer
   x = 156,423.95