Finding the Third Proportional to 51,006 and 76,968

Step by Step Solution

1. Step 1: Write the proportion equation
   51,006 : 76,968 = 76,968 : x
2. Step 2: Convert to fraction form
   51,006/76,968 = 76,968/x
3. Step 3: Cross multiply
   51,006x = 76,968 × 76,968
4. Step 4: Simplify right side
   51,006x = 5,924,073,024
5. Step 5: Solve for x
   x = 5,924,073,024/51,006
6. Step 6: Final answer
   x = 116,144.63