Finding the Third Proportional to 36,702 and 80,064

Step by Step Solution

1. Step 1: Write the proportion equation
   36,702 : 80,064 = 80,064 : x
2. Step 2: Convert to fraction form
   36,702/80,064 = 80,064/x
3. Step 3: Cross multiply
   36,702x = 80,064 × 80,064
4. Step 4: Simplify right side
   36,702x = 6,410,244,096
5. Step 5: Solve for x
   x = 6,410,244,096/36,702
6. Step 6: Final answer
   x = 174,656.53