Finding the Third Proportional to 37,736 and 79,144

Step by Step Solution

1. Step 1: Write the proportion equation
   37,736 : 79,144 = 79,144 : x
2. Step 2: Convert to fraction form
   37,736/79,144 = 79,144/x
3. Step 3: Cross multiply
   37,736x = 79,144 × 79,144
4. Step 4: Simplify right side
   37,736x = 6,263,772,736
5. Step 5: Solve for x
   x = 6,263,772,736/37,736
6. Step 6: Final answer
   x = 165,989.31