Finding the Third Proportional to 16,403 and 35,137

Step by Step Solution

1. Step 1: Write the proportion equation
   16,403 : 35,137 = 35,137 : x
2. Step 2: Convert to fraction form
   16,403/35,137 = 35,137/x
3. Step 3: Cross multiply
   16,403x = 35,137 × 35,137
4. Step 4: Simplify right side
   16,403x = 1,234,608,769
5. Step 5: Solve for x
   x = 1,234,608,769/16,403
6. Step 6: Final answer
   x = 75,267.25