Finding the Third Proportional to 16,010 and 34,822

Step by Step Solution

1. Step 1: Write the proportion equation
   16,010 : 34,822 = 34,822 : x
2. Step 2: Convert to fraction form
   16,010/34,822 = 34,822/x
3. Step 3: Cross multiply
   16,010x = 34,822 × 34,822
4. Step 4: Simplify right side
   16,010x = 1,212,571,684
5. Step 5: Solve for x
   x = 1,212,571,684/16,010
6. Step 6: Final answer
   x = 75,738.39