Finding the Third Proportional to 31,517 and 67,205

Step by Step Solution

1. Step 1: Write the proportion equation
   31,517 : 67,205 = 67,205 : x
2. Step 2: Convert to fraction form
   31,517/67,205 = 67,205/x
3. Step 3: Cross multiply
   31,517x = 67,205 × 67,205
4. Step 4: Simplify right side
   31,517x = 4,516,512,025
5. Step 5: Solve for x
   x = 4,516,512,025/31,517
6. Step 6: Final answer
   x = 143,304.00