Finding the Third Proportional to 51,777 and 76,936.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,777 : 76,936.50 = 76,936.50 : x
2. Step 2: Convert to fraction form
   51,777/76,936.50 = 76,936.50/x
3. Step 3: Cross multiply
   51,777x = 76,936.50 × 76,936.50
4. Step 4: Simplify right side
   51,777x = 5,919,225,032.25
5. Step 5: Solve for x
   x = 5,919,225,032.25/51,777
6. Step 6: Final answer
   x = 114,321.51