Finding the Third Proportional to 33,830 and 72,642

Step by Step Solution

1. Step 1: Write the proportion equation
   33,830 : 72,642 = 72,642 : x
2. Step 2: Convert to fraction form
   33,830/72,642 = 72,642/x
3. Step 3: Cross multiply
   33,830x = 72,642 × 72,642
4. Step 4: Simplify right side
   33,830x = 5,276,860,164
5. Step 5: Solve for x
   x = 5,276,860,164/33,830
6. Step 6: Final answer
   x = 155,981.68