Finding the Third Proportional to 37,766 and 82,966

Step by Step Solution

1. Step 1: Write the proportion equation
   37,766 : 82,966 = 82,966 : x
2. Step 2: Convert to fraction form
   37,766/82,966 = 82,966/x
3. Step 3: Cross multiply
   37,766x = 82,966 × 82,966
4. Step 4: Simplify right side
   37,766x = 6,883,357,156
5. Step 5: Solve for x
   x = 6,883,357,156/37,766
6. Step 6: Final answer
   x = 182,263.34