Finding the Third Proportional to 31,422 and 67,763

Step by Step Solution

1. Step 1: Write the proportion equation
   31,422 : 67,763 = 67,763 : x
2. Step 2: Convert to fraction form
   31,422/67,763 = 67,763/x
3. Step 3: Cross multiply
   31,422x = 67,763 × 67,763
4. Step 4: Simplify right side
   31,422x = 4,591,824,169
5. Step 5: Solve for x
   x = 4,591,824,169/31,422
6. Step 6: Final answer
   x = 146,134.05