Finding the Third Proportional to 51,714 and 72,801

Step by Step Solution

1. Step 1: Write the proportion equation
   51,714 : 72,801 = 72,801 : x
2. Step 2: Convert to fraction form
   51,714/72,801 = 72,801/x
3. Step 3: Cross multiply
   51,714x = 72,801 × 72,801
4. Step 4: Simplify right side
   51,714x = 5,299,985,601
5. Step 5: Solve for x
   x = 5,299,985,601/51,714
6. Step 6: Final answer
   x = 102,486.48