Finding the Third Proportional to 31,823 and 68,564

Step by Step Solution

1. Step 1: Write the proportion equation
   31,823 : 68,564 = 68,564 : x
2. Step 2: Convert to fraction form
   31,823/68,564 = 68,564/x
3. Step 3: Cross multiply
   31,823x = 68,564 × 68,564
4. Step 4: Simplify right side
   31,823x = 4,701,022,096
5. Step 5: Solve for x
   x = 4,701,022,096/31,823
6. Step 6: Final answer
   x = 147,724.04