Finding the Third Proportional to 16,374 and 35,867

Step by Step Solution

1. Step 1: Write the proportion equation
   16,374 : 35,867 = 35,867 : x
2. Step 2: Convert to fraction form
   16,374/35,867 = 35,867/x
3. Step 3: Cross multiply
   16,374x = 35,867 × 35,867
4. Step 4: Simplify right side
   16,374x = 1,286,441,689
5. Step 5: Solve for x
   x = 1,286,441,689/16,374
6. Step 6: Final answer
   x = 78,566.12