Finding the Third Proportional to 33,830 and 73,423

Step by Step Solution

1. Step 1: Write the proportion equation
   33,830 : 73,423 = 73,423 : x
2. Step 2: Convert to fraction form
   33,830/73,423 = 73,423/x
3. Step 3: Cross multiply
   33,830x = 73,423 × 73,423
4. Step 4: Simplify right side
   33,830x = 5,390,936,929
5. Step 5: Solve for x
   x = 5,390,936,929/33,830
6. Step 6: Final answer
   x = 159,353.74