Finding the Third Proportional to 51,308.25 and 76,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,308.25 : 76,756.50 = 76,756.50 : x
2. Step 2: Convert to fraction form
   51,308.25/76,756.50 = 76,756.50/x
3. Step 3: Cross multiply
   51,308.25x = 76,756.50 × 76,756.50
4. Step 4: Simplify right side
   51,308.25x = 5,891,560,292.25
5. Step 5: Solve for x
   x = 5,891,560,292.25/51,308.25
6. Step 6: Final answer
   x = 114,826.76