Finding the Third Proportional to 16,466 and 35,742

Step by Step Solution

1. Step 1: Write the proportion equation
   16,466 : 35,742 = 35,742 : x
2. Step 2: Convert to fraction form
   16,466/35,742 = 35,742/x
3. Step 3: Cross multiply
   16,466x = 35,742 × 35,742
4. Step 4: Simplify right side
   16,466x = 1,277,490,564
5. Step 5: Solve for x
   x = 1,277,490,564/16,466
6. Step 6: Final answer
   x = 77,583.54