Finding the Third Proportional to 35,685 and 76,851

Step by Step Solution

1. Step 1: Write the proportion equation
   35,685 : 76,851 = 76,851 : x
2. Step 2: Convert to fraction form
   35,685/76,851 = 76,851/x
3. Step 3: Cross multiply
   35,685x = 76,851 × 76,851
4. Step 4: Simplify right side
   35,685x = 5,906,076,201
5. Step 5: Solve for x
   x = 5,906,076,201/35,685
6. Step 6: Final answer
   x = 165,505.85