Finding the Third Proportional to 35,643 and 72,150

Step by Step Solution

1. Step 1: Write the proportion equation
   35,643 : 72,150 = 72,150 : x
2. Step 2: Convert to fraction form
   35,643/72,150 = 72,150/x
3. Step 3: Cross multiply
   35,643x = 72,150 × 72,150
4. Step 4: Simplify right side
   35,643x = 5,205,622,500
5. Step 5: Solve for x
   x = 5,205,622,500/35,643
6. Step 6: Final answer
   x = 146,048.94