Finding the Third Proportional to 35,184 and 71,801

Step by Step Solution

1. Step 1: Write the proportion equation
   35,184 : 71,801 = 71,801 : x
2. Step 2: Convert to fraction form
   35,184/71,801 = 71,801/x
3. Step 3: Cross multiply
   35,184x = 71,801 × 71,801
4. Step 4: Simplify right side
   35,184x = 5,155,383,601
5. Step 5: Solve for x
   x = 5,155,383,601/35,184
6. Step 6: Final answer
   x = 146,526.36