Finding the Third Proportional to 20,638 and 45,002

Step by Step Solution

1. Step 1: Write the proportion equation
   20,638 : 45,002 = 45,002 : x
2. Step 2: Convert to fraction form
   20,638/45,002 = 45,002/x
3. Step 3: Cross multiply
   20,638x = 45,002 × 45,002
4. Step 4: Simplify right side
   20,638x = 2,025,180,004
5. Step 5: Solve for x
   x = 2,025,180,004/20,638
6. Step 6: Final answer
   x = 98,128.69