Finding the Third Proportional to 25,298 and 59,105

Step by Step Solution

1. Step 1: Write the proportion equation
   25,298 : 59,105 = 59,105 : x
2. Step 2: Convert to fraction form
   25,298/59,105 = 59,105/x
3. Step 3: Cross multiply
   25,298x = 59,105 × 59,105
4. Step 4: Simplify right side
   25,298x = 3,493,401,025
5. Step 5: Solve for x
   x = 3,493,401,025/25,298
6. Step 6: Final answer
   x = 138,090.01