Finding the Third Proportional to 2,492.75 and 5,398.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,492.75 : 5,398.25 = 5,398.25 : x
2. Step 2: Convert to fraction form
   2,492.75/5,398.25 = 5,398.25/x
3. Step 3: Cross multiply
   2,492.75x = 5,398.25 × 5,398.25
4. Step 4: Simplify right side
   2,492.75x = 29,141,103.06
5. Step 5: Solve for x
   x = 29,141,103.06/2,492.75
6. Step 6: Final answer
   x = 11,690.34