Finding the Third Proportional to 35,666 and 76,852

Step by Step Solution

1. Step 1: Write the proportion equation
   35,666 : 76,852 = 76,852 : x
2. Step 2: Convert to fraction form
   35,666/76,852 = 76,852/x
3. Step 3: Cross multiply
   35,666x = 76,852 × 76,852
4. Step 4: Simplify right side
   35,666x = 5,906,229,904
5. Step 5: Solve for x
   x = 5,906,229,904/35,666
6. Step 6: Final answer
   x = 165,598.33