Finding the Third Proportional to 51,696 and 76,570

Step by Step Solution

1. Step 1: Write the proportion equation
   51,696 : 76,570 = 76,570 : x
2. Step 2: Convert to fraction form
   51,696/76,570 = 76,570/x
3. Step 3: Cross multiply
   51,696x = 76,570 × 76,570
4. Step 4: Simplify right side
   51,696x = 5,862,964,900
5. Step 5: Solve for x
   x = 5,862,964,900/51,696
6. Step 6: Final answer
   x = 113,412.35