Finding the Third Proportional to 51,342 and 76,801

Step by Step Solution

1. Step 1: Write the proportion equation
   51,342 : 76,801 = 76,801 : x
2. Step 2: Convert to fraction form
   51,342/76,801 = 76,801/x
3. Step 3: Cross multiply
   51,342x = 76,801 × 76,801
4. Step 4: Simplify right side
   51,342x = 5,898,393,601
5. Step 5: Solve for x
   x = 5,898,393,601/51,342
6. Step 6: Final answer
   x = 114,884.38