Finding the Third Proportional to 35,662 and 55,441

Step by Step Solution

1. Step 1: Write the proportion equation
   35,662 : 55,441 = 55,441 : x
2. Step 2: Convert to fraction form
   35,662/55,441 = 55,441/x
3. Step 3: Cross multiply
   35,662x = 55,441 × 55,441
4. Step 4: Simplify right side
   35,662x = 3,073,704,481
5. Step 5: Solve for x
   x = 3,073,704,481/35,662
6. Step 6: Final answer
   x = 86,189.91