Finding the Third Proportional to 35,050 and 55,493

Step by Step Solution

1. Step 1: Write the proportion equation
   35,050 : 55,493 = 55,493 : x
2. Step 2: Convert to fraction form
   35,050/55,493 = 55,493/x
3. Step 3: Cross multiply
   35,050x = 55,493 × 55,493
4. Step 4: Simplify right side
   35,050x = 3,079,473,049
5. Step 5: Solve for x
   x = 3,079,473,049/35,050
6. Step 6: Final answer
   x = 87,859.43