Finding the Third Proportional to 35,648 and 55,442

Step by Step Solution

1. Step 1: Write the proportion equation
   35,648 : 55,442 = 55,442 : x
2. Step 2: Convert to fraction form
   35,648/55,442 = 55,442/x
3. Step 3: Cross multiply
   35,648x = 55,442 × 55,442
4. Step 4: Simplify right side
   35,648x = 3,073,815,364
5. Step 5: Solve for x
   x = 3,073,815,364/35,648
6. Step 6: Final answer
   x = 86,226.87