Finding the Third Proportional to 38,772 and 83,733

Step by Step Solution

1. Step 1: Write the proportion equation
   38,772 : 83,733 = 83,733 : x
2. Step 2: Convert to fraction form
   38,772/83,733 = 83,733/x
3. Step 3: Cross multiply
   38,772x = 83,733 × 83,733
4. Step 4: Simplify right side
   38,772x = 7,011,215,289
5. Step 5: Solve for x
   x = 7,011,215,289/38,772
6. Step 6: Final answer
   x = 180,831.92