Finding the Third Proportional to 27,401 and 59,086

Step by Step Solution

1. Step 1: Write the proportion equation
   27,401 : 59,086 = 59,086 : x
2. Step 2: Convert to fraction form
   27,401/59,086 = 59,086/x
3. Step 3: Cross multiply
   27,401x = 59,086 × 59,086
4. Step 4: Simplify right side
   27,401x = 3,491,155,396
5. Step 5: Solve for x
   x = 3,491,155,396/27,401
6. Step 6: Final answer
   x = 127,409.78