Finding the Third Proportional to 16,502 and 35,738

Step by Step Solution

1. Step 1: Write the proportion equation
   16,502 : 35,738 = 35,738 : x
2. Step 2: Convert to fraction form
   16,502/35,738 = 35,738/x
3. Step 3: Cross multiply
   16,502x = 35,738 × 35,738
4. Step 4: Simplify right side
   16,502x = 1,277,204,644
5. Step 5: Solve for x
   x = 1,277,204,644/16,502
6. Step 6: Final answer
   x = 77,396.96