Finding the Third Proportional to 30,564 and 64,744

Step by Step Solution

1. Step 1: Write the proportion equation
   30,564 : 64,744 = 64,744 : x
2. Step 2: Convert to fraction form
   30,564/64,744 = 64,744/x
3. Step 3: Cross multiply
   30,564x = 64,744 × 64,744
4. Step 4: Simplify right side
   30,564x = 4,191,785,536
5. Step 5: Solve for x
   x = 4,191,785,536/30,564
6. Step 6: Final answer
   x = 137,147.81