Finding the Third Proportional to 2,748 and 5,925

Step by Step Solution

1. Step 1: Write the proportion equation
   2,748 : 5,925 = 5,925 : x
2. Step 2: Convert to fraction form
   2,748/5,925 = 5,925/x
3. Step 3: Cross multiply
   2,748x = 5,925 × 5,925
4. Step 4: Simplify right side
   2,748x = 35,105,625
5. Step 5: Solve for x
   x = 35,105,625/2,748
6. Step 6: Final answer
   x = 12,774.97