Finding the Third Proportional to 37,544 and 82,832

Step by Step Solution

1. Step 1: Write the proportion equation
   37,544 : 82,832 = 82,832 : x
2. Step 2: Convert to fraction form
   37,544/82,832 = 82,832/x
3. Step 3: Cross multiply
   37,544x = 82,832 × 82,832
4. Step 4: Simplify right side
   37,544x = 6,861,140,224
5. Step 5: Solve for x
   x = 6,861,140,224/37,544
6. Step 6: Final answer
   x = 182,749.31