Finding the Third Proportional to 37,724 and 82,978

Step by Step Solution

1. Step 1: Write the proportion equation
   37,724 : 82,978 = 82,978 : x
2. Step 2: Convert to fraction form
   37,724/82,978 = 82,978/x
3. Step 3: Cross multiply
   37,724x = 82,978 × 82,978
4. Step 4: Simplify right side
   37,724x = 6,885,348,484
5. Step 5: Solve for x
   x = 6,885,348,484/37,724
6. Step 6: Final answer
   x = 182,519.05