Finding the Third Proportional to 35,521 and 59,193

Step by Step Solution

1. Step 1: Write the proportion equation
   35,521 : 59,193 = 59,193 : x
2. Step 2: Convert to fraction form
   35,521/59,193 = 59,193/x
3. Step 3: Cross multiply
   35,521x = 59,193 × 59,193
4. Step 4: Simplify right side
   35,521x = 3,503,811,249
5. Step 5: Solve for x
   x = 3,503,811,249/35,521
6. Step 6: Final answer
   x = 98,640.56