Finding the Third Proportional to 38,772 and 83,736

Step by Step Solution

1. Step 1: Write the proportion equation
   38,772 : 83,736 = 83,736 : x
2. Step 2: Convert to fraction form
   38,772/83,736 = 83,736/x
3. Step 3: Cross multiply
   38,772x = 83,736 × 83,736
4. Step 4: Simplify right side
   38,772x = 7,011,717,696
5. Step 5: Solve for x
   x = 7,011,717,696/38,772
6. Step 6: Final answer
   x = 180,844.88