Finding the Third Proportional to 31,214 and 68,790

Step by Step Solution

1. Step 1: Write the proportion equation
   31,214 : 68,790 = 68,790 : x
2. Step 2: Convert to fraction form
   31,214/68,790 = 68,790/x
3. Step 3: Cross multiply
   31,214x = 68,790 × 68,790
4. Step 4: Simplify right side
   31,214x = 4,732,064,100
5. Step 5: Solve for x
   x = 4,732,064,100/31,214
6. Step 6: Final answer
   x = 151,600.70