Finding the Third Proportional to 33,665 and 72,902

Step by Step Solution

1. Step 1: Write the proportion equation
   33,665 : 72,902 = 72,902 : x
2. Step 2: Convert to fraction form
   33,665/72,902 = 72,902/x
3. Step 3: Cross multiply
   33,665x = 72,902 × 72,902
4. Step 4: Simplify right side
   33,665x = 5,314,701,604
5. Step 5: Solve for x
   x = 5,314,701,604/33,665
6. Step 6: Final answer
   x = 157,870.24