Finding the Third Proportional to 37,724 and 82,701

Step by Step Solution

1. Step 1: Write the proportion equation
   37,724 : 82,701 = 82,701 : x
2. Step 2: Convert to fraction form
   37,724/82,701 = 82,701/x
3. Step 3: Cross multiply
   37,724x = 82,701 × 82,701
4. Step 4: Simplify right side
   37,724x = 6,839,455,401
5. Step 5: Solve for x
   x = 6,839,455,401/37,724
6. Step 6: Final answer
   x = 181,302.50