Finding the Third Proportional to 16,418 and 35,752

Step by Step Solution

1. Step 1: Write the proportion equation
   16,418 : 35,752 = 35,752 : x
2. Step 2: Convert to fraction form
   16,418/35,752 = 35,752/x
3. Step 3: Cross multiply
   16,418x = 35,752 × 35,752
4. Step 4: Simplify right side
   16,418x = 1,278,205,504
5. Step 5: Solve for x
   x = 1,278,205,504/16,418
6. Step 6: Final answer
   x = 77,853.91