Finding the Third Proportional to 51,171.75 and 78,377.63

Step by Step Solution

1. Step 1: Write the proportion equation
   51,171.75 : 78,377.63 = 78,377.63 : x
2. Step 2: Convert to fraction form
   51,171.75/78,377.63 = 78,377.63/x
3. Step 3: Cross multiply
   51,171.75x = 78,377.63 × 78,377.63
4. Step 4: Simplify right side
   51,171.75x = 6,143,052,100.64
5. Step 5: Solve for x
   x = 6,143,052,100.64/51,171.75
6. Step 6: Final answer
   x = 120,047.72