Finding the Third Proportional to 31,538 and 48,832

Step by Step Solution

1. Step 1: Write the proportion equation
   31,538 : 48,832 = 48,832 : x
2. Step 2: Convert to fraction form
   31,538/48,832 = 48,832/x
3. Step 3: Cross multiply
   31,538x = 48,832 × 48,832
4. Step 4: Simplify right side
   31,538x = 2,384,564,224
5. Step 5: Solve for x
   x = 2,384,564,224/31,538
6. Step 6: Final answer
   x = 75,609.24