Finding the Third Proportional to 16,259 and 35,495

Step by Step Solution

1. Step 1: Write the proportion equation
   16,259 : 35,495 = 35,495 : x
2. Step 2: Convert to fraction form
   16,259/35,495 = 35,495/x
3. Step 3: Cross multiply
   16,259x = 35,495 × 35,495
4. Step 4: Simplify right side
   16,259x = 1,259,895,025
5. Step 5: Solve for x
   x = 1,259,895,025/16,259
6. Step 6: Final answer
   x = 77,489.08