Finding the Third Proportional to 37,832 and 82,896

Step by Step Solution

1. Step 1: Write the proportion equation
   37,832 : 82,896 = 82,896 : x
2. Step 2: Convert to fraction form
   37,832/82,896 = 82,896/x
3. Step 3: Cross multiply
   37,832x = 82,896 × 82,896
4. Step 4: Simplify right side
   37,832x = 6,871,746,816
5. Step 5: Solve for x
   x = 6,871,746,816/37,832
6. Step 6: Final answer
   x = 181,638.48