Finding the Third Proportional to 35,886 and 73,230

Step by Step Solution

1. Step 1: Write the proportion equation
   35,886 : 73,230 = 73,230 : x
2. Step 2: Convert to fraction form
   35,886/73,230 = 73,230/x
3. Step 3: Cross multiply
   35,886x = 73,230 × 73,230
4. Step 4: Simplify right side
   35,886x = 5,362,632,900
5. Step 5: Solve for x
   x = 5,362,632,900/35,886
6. Step 6: Final answer
   x = 149,435.24