Finding the Third Proportional to 30,744 and 64,944

Step by Step Solution

1. Step 1: Write the proportion equation
   30,744 : 64,944 = 64,944 : x
2. Step 2: Convert to fraction form
   30,744/64,944 = 64,944/x
3. Step 3: Cross multiply
   30,744x = 64,944 × 64,944
4. Step 4: Simplify right side
   30,744x = 4,217,723,136
5. Step 5: Solve for x
   x = 4,217,723,136/30,744
6. Step 6: Final answer
   x = 137,188.50