Finding the Third Proportional to 25,830 and 39,105

Step by Step Solution

1. Step 1: Write the proportion equation
   25,830 : 39,105 = 39,105 : x
2. Step 2: Convert to fraction form
   25,830/39,105 = 39,105/x
3. Step 3: Cross multiply
   25,830x = 39,105 × 39,105
4. Step 4: Simplify right side
   25,830x = 1,529,201,025
5. Step 5: Solve for x
   x = 1,529,201,025/25,830
6. Step 6: Final answer
   x = 59,202.52