Finding the Third Proportional to 10,006 and 14,492.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,006 : 14,492.25 = 14,492.25 : x
2. Step 2: Convert to fraction form
   10,006/14,492.25 = 14,492.25/x
3. Step 3: Cross multiply
   10,006x = 14,492.25 × 14,492.25
4. Step 4: Simplify right side
   10,006x = 210,025,310.06
5. Step 5: Solve for x
   x = 210,025,310.06/10,006
6. Step 6: Final answer
   x = 20,989.94