Finding the Third Proportional to 32,835 and 72,027

Step by Step Solution

1. Step 1: Write the proportion equation
   32,835 : 72,027 = 72,027 : x
2. Step 2: Convert to fraction form
   32,835/72,027 = 72,027/x
3. Step 3: Cross multiply
   32,835x = 72,027 × 72,027
4. Step 4: Simplify right side
   32,835x = 5,187,888,729
5. Step 5: Solve for x
   x = 5,187,888,729/32,835
6. Step 6: Final answer
   x = 157,998.74