Finding the Third Proportional to 37,982 and 83,112

Step by Step Solution

1. Step 1: Write the proportion equation
   37,982 : 83,112 = 83,112 : x
2. Step 2: Convert to fraction form
   37,982/83,112 = 83,112/x
3. Step 3: Cross multiply
   37,982x = 83,112 × 83,112
4. Step 4: Simplify right side
   37,982x = 6,907,604,544
5. Step 5: Solve for x
   x = 6,907,604,544/37,982
6. Step 6: Final answer
   x = 181,865.21