Finding the Third Proportional to 10,111.50 and 15,714

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.50 : 15,714 = 15,714 : x
2. Step 2: Convert to fraction form
   10,111.50/15,714 = 15,714/x
3. Step 3: Cross multiply
   10,111.50x = 15,714 × 15,714
4. Step 4: Simplify right side
   10,111.50x = 246,929,796
5. Step 5: Solve for x
   x = 246,929,796/10,111.50
6. Step 6: Final answer
   x = 24,420.69