Finding the Third Proportional to 40,644 and 89,064

Step by Step Solution

1. Step 1: Write the proportion equation
   40,644 : 89,064 = 89,064 : x
2. Step 2: Convert to fraction form
   40,644/89,064 = 89,064/x
3. Step 3: Cross multiply
   40,644x = 89,064 × 89,064
4. Step 4: Simplify right side
   40,644x = 7,932,396,096
5. Step 5: Solve for x
   x = 7,932,396,096/40,644
6. Step 6: Final answer
   x = 195,167.70