Finding the Third Proportional to 37,966 and 83,084

Step by Step Solution

1. Step 1: Write the proportion equation
   37,966 : 83,084 = 83,084 : x
2. Step 2: Convert to fraction form
   37,966/83,084 = 83,084/x
3. Step 3: Cross multiply
   37,966x = 83,084 × 83,084
4. Step 4: Simplify right side
   37,966x = 6,902,951,056
5. Step 5: Solve for x
   x = 6,902,951,056/37,966
6. Step 6: Final answer
   x = 181,819.29