Finding the Third Proportional to 23,972 and 52,714

Step by Step Solution

1. Step 1: Write the proportion equation
   23,972 : 52,714 = 52,714 : x
2. Step 2: Convert to fraction form
   23,972/52,714 = 52,714/x
3. Step 3: Cross multiply
   23,972x = 52,714 × 52,714
4. Step 4: Simplify right side
   23,972x = 2,778,765,796
5. Step 5: Solve for x
   x = 2,778,765,796/23,972
6. Step 6: Final answer
   x = 115,917.14