Finding the Third Proportional to 16,064 and 34,912

Step by Step Solution

1. Step 1: Write the proportion equation
   16,064 : 34,912 = 34,912 : x
2. Step 2: Convert to fraction form
   16,064/34,912 = 34,912/x
3. Step 3: Cross multiply
   16,064x = 34,912 × 34,912
4. Step 4: Simplify right side
   16,064x = 1,218,847,744
5. Step 5: Solve for x
   x = 1,218,847,744/16,064
6. Step 6: Final answer
   x = 75,874.49