Finding the Third Proportional to 31,884 and 65,064

Step by Step Solution

1. Step 1: Write the proportion equation
   31,884 : 65,064 = 65,064 : x
2. Step 2: Convert to fraction form
   31,884/65,064 = 65,064/x
3. Step 3: Cross multiply
   31,884x = 65,064 × 65,064
4. Step 4: Simplify right side
   31,884x = 4,233,324,096
5. Step 5: Solve for x
   x = 4,233,324,096/31,884
6. Step 6: Final answer
   x = 132,772.68