Finding the Third Proportional to 25,004 and 41,682

Step by Step Solution

1. Step 1: Write the proportion equation
   25,004 : 41,682 = 41,682 : x
2. Step 2: Convert to fraction form
   25,004/41,682 = 41,682/x
3. Step 3: Cross multiply
   25,004x = 41,682 × 41,682
4. Step 4: Simplify right side
   25,004x = 1,737,389,124
5. Step 5: Solve for x
   x = 1,737,389,124/25,004
6. Step 6: Final answer
   x = 69,484.45