Finding the Third Proportional to 35,692 and 55,266

Step by Step Solution

1. Step 1: Write the proportion equation
   35,692 : 55,266 = 55,266 : x
2. Step 2: Convert to fraction form
   35,692/55,266 = 55,266/x
3. Step 3: Cross multiply
   35,692x = 55,266 × 55,266
4. Step 4: Simplify right side
   35,692x = 3,054,330,756
5. Step 5: Solve for x
   x = 3,054,330,756/35,692
6. Step 6: Final answer
   x = 85,574.66