Finding the Third Proportional to 16,401 and 35,486

Step by Step Solution

1. Step 1: Write the proportion equation
   16,401 : 35,486 = 35,486 : x
2. Step 2: Convert to fraction form
   16,401/35,486 = 35,486/x
3. Step 3: Cross multiply
   16,401x = 35,486 × 35,486
4. Step 4: Simplify right side
   16,401x = 1,259,256,196
5. Step 5: Solve for x
   x = 1,259,256,196/16,401
6. Step 6: Final answer
   x = 76,779.23