Finding the Third Proportional to 41,823 and 59,620

Step by Step Solution

1. Step 1: Write the proportion equation
   41,823 : 59,620 = 59,620 : x
2. Step 2: Convert to fraction form
   41,823/59,620 = 59,620/x
3. Step 3: Cross multiply
   41,823x = 59,620 × 59,620
4. Step 4: Simplify right side
   41,823x = 3,554,544,400
5. Step 5: Solve for x
   x = 3,554,544,400/41,823
6. Step 6: Final answer
   x = 84,990.18