Finding the Third Proportional to 31,460 and 68,968

Step by Step Solution

1. Step 1: Write the proportion equation
   31,460 : 68,968 = 68,968 : x
2. Step 2: Convert to fraction form
   31,460/68,968 = 68,968/x
3. Step 3: Cross multiply
   31,460x = 68,968 × 68,968
4. Step 4: Simplify right side
   31,460x = 4,756,585,024
5. Step 5: Solve for x
   x = 4,756,585,024/31,460
6. Step 6: Final answer
   x = 151,194.69