Finding the Third Proportional to 16,578 and 35,829

Step by Step Solution

1. Step 1: Write the proportion equation
   16,578 : 35,829 = 35,829 : x
2. Step 2: Convert to fraction form
   16,578/35,829 = 35,829/x
3. Step 3: Cross multiply
   16,578x = 35,829 × 35,829
4. Step 4: Simplify right side
   16,578x = 1,283,717,241
5. Step 5: Solve for x
   x = 1,283,717,241/16,578
6. Step 6: Final answer
   x = 77,434.99