Finding the Third Proportional to 51,745.50 and 78,023.25

Step by Step Solution

1. Step 1: Write the proportion equation
   51,745.50 : 78,023.25 = 78,023.25 : x
2. Step 2: Convert to fraction form
   51,745.50/78,023.25 = 78,023.25/x
3. Step 3: Cross multiply
   51,745.50x = 78,023.25 × 78,023.25
4. Step 4: Simplify right side
   51,745.50x = 6,087,627,540.56
5. Step 5: Solve for x
   x = 6,087,627,540.56/51,745.50
6. Step 6: Final answer
   x = 117,645.54