Finding the Third Proportional to 31,820 and 68,884

Step by Step Solution

1. Step 1: Write the proportion equation
   31,820 : 68,884 = 68,884 : x
2. Step 2: Convert to fraction form
   31,820/68,884 = 68,884/x
3. Step 3: Cross multiply
   31,820x = 68,884 × 68,884
4. Step 4: Simplify right side
   31,820x = 4,745,005,456
5. Step 5: Solve for x
   x = 4,745,005,456/31,820
6. Step 6: Final answer
   x = 149,120.22