Finding the Third Proportional to 16,022 and 34,413

Step by Step Solution

1. Step 1: Write the proportion equation
   16,022 : 34,413 = 34,413 : x
2. Step 2: Convert to fraction form
   16,022/34,413 = 34,413/x
3. Step 3: Cross multiply
   16,022x = 34,413 × 34,413
4. Step 4: Simplify right side
   16,022x = 1,184,254,569
5. Step 5: Solve for x
   x = 1,184,254,569/16,022
6. Step 6: Final answer
   x = 73,914.28