Finding the Third Proportional to 31,553 and 67,966

Step by Step Solution

1. Step 1: Write the proportion equation
   31,553 : 67,966 = 67,966 : x
2. Step 2: Convert to fraction form
   31,553/67,966 = 67,966/x
3. Step 3: Cross multiply
   31,553x = 67,966 × 67,966
4. Step 4: Simplify right side
   31,553x = 4,619,377,156
5. Step 5: Solve for x
   x = 4,619,377,156/31,553
6. Step 6: Final answer
   x = 146,400.57