Finding the Third Proportional to 51,380 and 76,850

Step by Step Solution

1. Step 1: Write the proportion equation
   51,380 : 76,850 = 76,850 : x
2. Step 2: Convert to fraction form
   51,380/76,850 = 76,850/x
3. Step 3: Cross multiply
   51,380x = 76,850 × 76,850
4. Step 4: Simplify right side
   51,380x = 5,905,922,500
5. Step 5: Solve for x
   x = 5,905,922,500/51,380
6. Step 6: Final answer
   x = 114,945.94