Finding the Third Proportional to 27,314 and 59,002

Step by Step Solution

1. Step 1: Write the proportion equation
   27,314 : 59,002 = 59,002 : x
2. Step 2: Convert to fraction form
   27,314/59,002 = 59,002/x
3. Step 3: Cross multiply
   27,314x = 59,002 × 59,002
4. Step 4: Simplify right side
   27,314x = 3,481,236,004
5. Step 5: Solve for x
   x = 3,481,236,004/27,314
6. Step 6: Final answer
   x = 127,452.44