Finding the Third Proportional to 31,928 and 51,005

Step by Step Solution

1. Step 1: Write the proportion equation
   31,928 : 51,005 = 51,005 : x
2. Step 2: Convert to fraction form
   31,928/51,005 = 51,005/x
3. Step 3: Cross multiply
   31,928x = 51,005 × 51,005
4. Step 4: Simplify right side
   31,928x = 2,601,510,025
5. Step 5: Solve for x
   x = 2,601,510,025/31,928
6. Step 6: Final answer
   x = 81,480.52