Finding the Third Proportional to 10,378 and 22,520

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378 : 22,520 = 22,520 : x
2. Step 2: Convert to fraction form
   10,378/22,520 = 22,520/x
3. Step 3: Cross multiply
   10,378x = 22,520 × 22,520
4. Step 4: Simplify right side
   10,378x = 507,150,400
5. Step 5: Solve for x
   x = 507,150,400/10,378
6. Step 6: Final answer
   x = 48,867.84