Finding the Third Proportional to 25,966 and 37,005

Step by Step Solution

1. Step 1: Write the proportion equation
   25,966 : 37,005 = 37,005 : x
2. Step 2: Convert to fraction form
   25,966/37,005 = 37,005/x
3. Step 3: Cross multiply
   25,966x = 37,005 × 37,005
4. Step 4: Simplify right side
   25,966x = 1,369,370,025
5. Step 5: Solve for x
   x = 1,369,370,025/25,966
6. Step 6: Final answer
   x = 52,737.04