Finding the Third Proportional to 35,561 and 72,145

Step by Step Solution

1. Step 1: Write the proportion equation
   35,561 : 72,145 = 72,145 : x
2. Step 2: Convert to fraction form
   35,561/72,145 = 72,145/x
3. Step 3: Cross multiply
   35,561x = 72,145 × 72,145
4. Step 4: Simplify right side
   35,561x = 5,204,901,025
5. Step 5: Solve for x
   x = 5,204,901,025/35,561
6. Step 6: Final answer
   x = 146,365.43