Finding the Third Proportional to 51,087.75 and 76,648.69

Step by Step Solution

1. Step 1: Write the proportion equation
   51,087.75 : 76,648.69 = 76,648.69 : x
2. Step 2: Convert to fraction form
   51,087.75/76,648.69 = 76,648.69/x
3. Step 3: Cross multiply
   51,087.75x = 76,648.69 × 76,648.69
4. Step 4: Simplify right side
   51,087.75x = 5,875,021,295.47
5. Step 5: Solve for x
   x = 5,875,021,295.47/51,087.75
6. Step 6: Final answer
   x = 114,998.63