Finding the Third Proportional to 27,717 and 59,371.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,717 : 59,371.50 = 59,371.50 : x
2. Step 2: Convert to fraction form
   27,717/59,371.50 = 59,371.50/x
3. Step 3: Cross multiply
   27,717x = 59,371.50 × 59,371.50
4. Step 4: Simplify right side
   27,717x = 3,524,975,012.25
5. Step 5: Solve for x
   x = 3,524,975,012.25/27,717
6. Step 6: Final answer
   x = 127,177.36