Finding the Third Proportional to 31,928 and 69,451

Step by Step Solution

1. Step 1: Write the proportion equation
   31,928 : 69,451 = 69,451 : x
2. Step 2: Convert to fraction form
   31,928/69,451 = 69,451/x
3. Step 3: Cross multiply
   31,928x = 69,451 × 69,451
4. Step 4: Simplify right side
   31,928x = 4,823,441,401
5. Step 5: Solve for x
   x = 4,823,441,401/31,928
6. Step 6: Final answer
   x = 151,072.46