Finding the Third Proportional to 27,948 and 59,025

Step by Step Solution

1. Step 1: Write the proportion equation
   27,948 : 59,025 = 59,025 : x
2. Step 2: Convert to fraction form
   27,948/59,025 = 59,025/x
3. Step 3: Cross multiply
   27,948x = 59,025 × 59,025
4. Step 4: Simplify right side
   27,948x = 3,483,950,625
5. Step 5: Solve for x
   x = 3,483,950,625/27,948
6. Step 6: Final answer
   x = 124,658.32