Finding the Third Proportional to 16,635 and 35,862

Step by Step Solution

1. Step 1: Write the proportion equation
   16,635 : 35,862 = 35,862 : x
2. Step 2: Convert to fraction form
   16,635/35,862 = 35,862/x
3. Step 3: Cross multiply
   16,635x = 35,862 × 35,862
4. Step 4: Simplify right side
   16,635x = 1,286,083,044
5. Step 5: Solve for x
   x = 1,286,083,044/16,635
6. Step 6: Final answer
   x = 77,311.88