Finding the Third Proportional to 37,776 and 82,464

Step by Step Solution

1. Step 1: Write the proportion equation
   37,776 : 82,464 = 82,464 : x
2. Step 2: Convert to fraction form
   37,776/82,464 = 82,464/x
3. Step 3: Cross multiply
   37,776x = 82,464 × 82,464
4. Step 4: Simplify right side
   37,776x = 6,800,311,296
5. Step 5: Solve for x
   x = 6,800,311,296/37,776
6. Step 6: Final answer
   x = 180,016.71