Finding the Third Proportional to 51,096 and 64,980

Step by Step Solution

1. Step 1: Write the proportion equation
   51,096 : 64,980 = 64,980 : x
2. Step 2: Convert to fraction form
   51,096/64,980 = 64,980/x
3. Step 3: Cross multiply
   51,096x = 64,980 × 64,980
4. Step 4: Simplify right side
   51,096x = 4,222,400,400
5. Step 5: Solve for x
   x = 4,222,400,400/51,096
6. Step 6: Final answer
   x = 82,636.61