Finding the Third Proportional to 16,625 and 35,686

Step by Step Solution

1. Step 1: Write the proportion equation
   16,625 : 35,686 = 35,686 : x
2. Step 2: Convert to fraction form
   16,625/35,686 = 35,686/x
3. Step 3: Cross multiply
   16,625x = 35,686 × 35,686
4. Step 4: Simplify right side
   16,625x = 1,273,490,596
5. Step 5: Solve for x
   x = 1,273,490,596/16,625
6. Step 6: Final answer
   x = 76,600.94