Finding the Third Proportional to 2,054 and 4,492

Step by Step Solution

1. Step 1: Write the proportion equation
   2,054 : 4,492 = 4,492 : x
2. Step 2: Convert to fraction form
   2,054/4,492 = 4,492/x
3. Step 3: Cross multiply
   2,054x = 4,492 × 4,492
4. Step 4: Simplify right side
   2,054x = 20,178,064
5. Step 5: Solve for x
   x = 20,178,064/2,054
6. Step 6: Final answer
   x = 9,823.79