Finding the Third Proportional to 25,266 and 59,049

Step by Step Solution

1. Step 1: Write the proportion equation
   25,266 : 59,049 = 59,049 : x
2. Step 2: Convert to fraction form
   25,266/59,049 = 59,049/x
3. Step 3: Cross multiply
   25,266x = 59,049 × 59,049
4. Step 4: Simplify right side
   25,266x = 3,486,784,401
5. Step 5: Solve for x
   x = 3,486,784,401/25,266
6. Step 6: Final answer
   x = 138,003.02