Finding the Third Proportional to 42,300 and 59,193

Step by Step Solution

1. Step 1: Write the proportion equation
   42,300 : 59,193 = 59,193 : x
2. Step 2: Convert to fraction form
   42,300/59,193 = 59,193/x
3. Step 3: Cross multiply
   42,300x = 59,193 × 59,193
4. Step 4: Simplify right side
   42,300x = 3,503,811,249
5. Step 5: Solve for x
   x = 3,503,811,249/42,300
6. Step 6: Final answer
   x = 82,832.42