Finding the Third Proportional to 37,724 and 82,980

Step by Step Solution

1. Step 1: Write the proportion equation
   37,724 : 82,980 = 82,980 : x
2. Step 2: Convert to fraction form
   37,724/82,980 = 82,980/x
3. Step 3: Cross multiply
   37,724x = 82,980 × 82,980
4. Step 4: Simplify right side
   37,724x = 6,885,680,400
5. Step 5: Solve for x
   x = 6,885,680,400/37,724
6. Step 6: Final answer
   x = 182,527.84