Finding the Third Proportional to 16,138 and 35,459

Step by Step Solution

1. Step 1: Write the proportion equation
   16,138 : 35,459 = 35,459 : x
2. Step 2: Convert to fraction form
   16,138/35,459 = 35,459/x
3. Step 3: Cross multiply
   16,138x = 35,459 × 35,459
4. Step 4: Simplify right side
   16,138x = 1,257,340,681
5. Step 5: Solve for x
   x = 1,257,340,681/16,138
6. Step 6: Final answer
   x = 77,911.80