Finding the Third Proportional to 51,200 and 74,976

Step by Step Solution

1. Step 1: Write the proportion equation
   51,200 : 74,976 = 74,976 : x
2. Step 2: Convert to fraction form
   51,200/74,976 = 74,976/x
3. Step 3: Cross multiply
   51,200x = 74,976 × 74,976
4. Step 4: Simplify right side
   51,200x = 5,621,400,576
5. Step 5: Solve for x
   x = 5,621,400,576/51,200
6. Step 6: Final answer
   x = 109,792.98