Finding the Third Proportional to 31,205 and 67,963

Step by Step Solution

1. Step 1: Write the proportion equation
   31,205 : 67,963 = 67,963 : x
2. Step 2: Convert to fraction form
   31,205/67,963 = 67,963/x
3. Step 3: Cross multiply
   31,205x = 67,963 × 67,963
4. Step 4: Simplify right side
   31,205x = 4,618,969,369
5. Step 5: Solve for x
   x = 4,618,969,369/31,205
6. Step 6: Final answer
   x = 148,020.17