Finding the Third Proportional to 16,338 and 35,596

Step by Step Solution

1. Step 1: Write the proportion equation
   16,338 : 35,596 = 35,596 : x
2. Step 2: Convert to fraction form
   16,338/35,596 = 35,596/x
3. Step 3: Cross multiply
   16,338x = 35,596 × 35,596
4. Step 4: Simplify right side
   16,338x = 1,267,075,216
5. Step 5: Solve for x
   x = 1,267,075,216/16,338
6. Step 6: Final answer
   x = 77,553.88