Finding the Third Proportional to 31,018 and 67,832

Step by Step Solution

1. Step 1: Write the proportion equation
   31,018 : 67,832 = 67,832 : x
2. Step 2: Convert to fraction form
   31,018/67,832 = 67,832/x
3. Step 3: Cross multiply
   31,018x = 67,832 × 67,832
4. Step 4: Simplify right side
   31,018x = 4,601,180,224
5. Step 5: Solve for x
   x = 4,601,180,224/31,018
6. Step 6: Final answer
   x = 148,339.04