Finding the Third Proportional to 10,378 and 22,499

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378 : 22,499 = 22,499 : x
2. Step 2: Convert to fraction form
   10,378/22,499 = 22,499/x
3. Step 3: Cross multiply
   10,378x = 22,499 × 22,499
4. Step 4: Simplify right side
   10,378x = 506,205,001
5. Step 5: Solve for x
   x = 506,205,001/10,378
6. Step 6: Final answer
   x = 48,776.74