Finding the Third Proportional to 33,285 and 72,402

Step by Step Solution

1. Step 1: Write the proportion equation
   33,285 : 72,402 = 72,402 : x
2. Step 2: Convert to fraction form
   33,285/72,402 = 72,402/x
3. Step 3: Cross multiply
   33,285x = 72,402 × 72,402
4. Step 4: Simplify right side
   33,285x = 5,242,049,604
5. Step 5: Solve for x
   x = 5,242,049,604/33,285
6. Step 6: Final answer
   x = 157,489.85