Finding the Third Proportional to 16,421 and 35,178

Step by Step Solution

1. Step 1: Write the proportion equation
   16,421 : 35,178 = 35,178 : x
2. Step 2: Convert to fraction form
   16,421/35,178 = 35,178/x
3. Step 3: Cross multiply
   16,421x = 35,178 × 35,178
4. Step 4: Simplify right side
   16,421x = 1,237,491,684
5. Step 5: Solve for x
   x = 1,237,491,684/16,421
6. Step 6: Final answer
   x = 75,360.31