Finding the Third Proportional to 37,740 and 82,030

Step by Step Solution

1. Step 1: Write the proportion equation
   37,740 : 82,030 = 82,030 : x
2. Step 2: Convert to fraction form
   37,740/82,030 = 82,030/x
3. Step 3: Cross multiply
   37,740x = 82,030 × 82,030
4. Step 4: Simplify right side
   37,740x = 6,728,920,900
5. Step 5: Solve for x
   x = 6,728,920,900/37,740
6. Step 6: Final answer
   x = 178,296.79