Finding the Third Proportional to 31,584 and 68,028

Step by Step Solution

1. Step 1: Write the proportion equation
   31,584 : 68,028 = 68,028 : x
2. Step 2: Convert to fraction form
   31,584/68,028 = 68,028/x
3. Step 3: Cross multiply
   31,584x = 68,028 × 68,028
4. Step 4: Simplify right side
   31,584x = 4,627,808,784
5. Step 5: Solve for x
   x = 4,627,808,784/31,584
6. Step 6: Final answer
   x = 146,523.83