Finding the Third Proportional to 31,915 and 68,174

Step by Step Solution

1. Step 1: Write the proportion equation
   31,915 : 68,174 = 68,174 : x
2. Step 2: Convert to fraction form
   31,915/68,174 = 68,174/x
3. Step 3: Cross multiply
   31,915x = 68,174 × 68,174
4. Step 4: Simplify right side
   31,915x = 4,647,694,276
5. Step 5: Solve for x
   x = 4,647,694,276/31,915
6. Step 6: Final answer
   x = 145,627.27