Finding the Third Proportional to 16,413 and 35,834

Step by Step Solution

1. Step 1: Write the proportion equation
   16,413 : 35,834 = 35,834 : x
2. Step 2: Convert to fraction form
   16,413/35,834 = 35,834/x
3. Step 3: Cross multiply
   16,413x = 35,834 × 35,834
4. Step 4: Simplify right side
   16,413x = 1,284,075,556
5. Step 5: Solve for x
   x = 1,284,075,556/16,413
6. Step 6: Final answer
   x = 78,235.27