Finding the Third Proportional to 31,468 and 68,876

Step by Step Solution

1. Step 1: Write the proportion equation
   31,468 : 68,876 = 68,876 : x
2. Step 2: Convert to fraction form
   31,468/68,876 = 68,876/x
3. Step 3: Cross multiply
   31,468x = 68,876 × 68,876
4. Step 4: Simplify right side
   31,468x = 4,743,903,376
5. Step 5: Solve for x
   x = 4,743,903,376/31,468
6. Step 6: Final answer
   x = 150,753.25