Finding the Third Proportional to 31,914 and 68,172

Step by Step Solution

1. Step 1: Write the proportion equation
   31,914 : 68,172 = 68,172 : x
2. Step 2: Convert to fraction form
   31,914/68,172 = 68,172/x
3. Step 3: Cross multiply
   31,914x = 68,172 × 68,172
4. Step 4: Simplify right side
   31,914x = 4,647,421,584
5. Step 5: Solve for x
   x = 4,647,421,584/31,914
6. Step 6: Final answer
   x = 145,623.29