Finding the Third Proportional to 31,474 and 68,672

Step by Step Solution

1. Step 1: Write the proportion equation
   31,474 : 68,672 = 68,672 : x
2. Step 2: Convert to fraction form
   31,474/68,672 = 68,672/x
3. Step 3: Cross multiply
   31,474x = 68,672 × 68,672
4. Step 4: Simplify right side
   31,474x = 4,715,843,584
5. Step 5: Solve for x
   x = 4,715,843,584/31,474
6. Step 6: Final answer
   x = 149,832.99