Finding the Third Proportional to 37,832 and 78,768

Step by Step Solution

1. Step 1: Write the proportion equation
   37,832 : 78,768 = 78,768 : x
2. Step 2: Convert to fraction form
   37,832/78,768 = 78,768/x
3. Step 3: Cross multiply
   37,832x = 78,768 × 78,768
4. Step 4: Simplify right side
   37,832x = 6,204,397,824
5. Step 5: Solve for x
   x = 6,204,397,824/37,832
6. Step 6: Final answer
   x = 163,998.67