Finding the Third Proportional to 38,404 and 59,605

Step by Step Solution

1. Step 1: Write the proportion equation
   38,404 : 59,605 = 59,605 : x
2. Step 2: Convert to fraction form
   38,404/59,605 = 59,605/x
3. Step 3: Cross multiply
   38,404x = 59,605 × 59,605
4. Step 4: Simplify right side
   38,404x = 3,552,756,025
5. Step 5: Solve for x
   x = 3,552,756,025/38,404
6. Step 6: Final answer
   x = 92,510.05