Finding the Third Proportional to 27,536 and 59,744

Step by Step Solution

1. Step 1: Write the proportion equation
   27,536 : 59,744 = 59,744 : x
2. Step 2: Convert to fraction form
   27,536/59,744 = 59,744/x
3. Step 3: Cross multiply
   27,536x = 59,744 × 59,744
4. Step 4: Simplify right side
   27,536x = 3,569,345,536
5. Step 5: Solve for x
   x = 3,569,345,536/27,536
6. Step 6: Final answer
   x = 129,624.69