Finding the Third Proportional to 37,950 and 82,461

Step by Step Solution

1. Step 1: Write the proportion equation
   37,950 : 82,461 = 82,461 : x
2. Step 2: Convert to fraction form
   37,950/82,461 = 82,461/x
3. Step 3: Cross multiply
   37,950x = 82,461 × 82,461
4. Step 4: Simplify right side
   37,950x = 6,799,816,521
5. Step 5: Solve for x
   x = 6,799,816,521/37,950
6. Step 6: Final answer
   x = 179,178.30