Finding the Third Proportional to 16,587 and 35,846

Step by Step Solution

1. Step 1: Write the proportion equation
   16,587 : 35,846 = 35,846 : x
2. Step 2: Convert to fraction form
   16,587/35,846 = 35,846/x
3. Step 3: Cross multiply
   16,587x = 35,846 × 35,846
4. Step 4: Simplify right side
   16,587x = 1,284,935,716
5. Step 5: Solve for x
   x = 1,284,935,716/16,587
6. Step 6: Final answer
   x = 77,466.43