Finding the Third Proportional to 51,972 and 76,014

Step by Step Solution

1. Step 1: Write the proportion equation
   51,972 : 76,014 = 76,014 : x
2. Step 2: Convert to fraction form
   51,972/76,014 = 76,014/x
3. Step 3: Cross multiply
   51,972x = 76,014 × 76,014
4. Step 4: Simplify right side
   51,972x = 5,778,128,196
5. Step 5: Solve for x
   x = 5,778,128,196/51,972
6. Step 6: Final answer
   x = 111,177.71