Finding the Third Proportional to 5,925 and 12,714

Step by Step Solution

1. Step 1: Write the proportion equation
   5,925 : 12,714 = 12,714 : x
2. Step 2: Convert to fraction form
   5,925/12,714 = 12,714/x
3. Step 3: Cross multiply
   5,925x = 12,714 × 12,714
4. Step 4: Simplify right side
   5,925x = 161,645,796
5. Step 5: Solve for x
   x = 161,645,796/5,925
6. Step 6: Final answer
   x = 27,281.99