Finding the Third Proportional to 16,064 and 34,816

Step by Step Solution

1. Step 1: Write the proportion equation
   16,064 : 34,816 = 34,816 : x
2. Step 2: Convert to fraction form
   16,064/34,816 = 34,816/x
3. Step 3: Cross multiply
   16,064x = 34,816 × 34,816
4. Step 4: Simplify right side
   16,064x = 1,212,153,856
5. Step 5: Solve for x
   x = 1,212,153,856/16,064
6. Step 6: Final answer
   x = 75,457.78