Finding the Third Proportional to 27,784 and 60,744

Step by Step Solution

1. Step 1: Write the proportion equation
   27,784 : 60,744 = 60,744 : x
2. Step 2: Convert to fraction form
   27,784/60,744 = 60,744/x
3. Step 3: Cross multiply
   27,784x = 60,744 × 60,744
4. Step 4: Simplify right side
   27,784x = 3,689,833,536
5. Step 5: Solve for x
   x = 3,689,833,536/27,784
6. Step 6: Final answer
   x = 132,804.26