Finding the Third Proportional to 22,862 and 49,468

Step by Step Solution

1. Step 1: Write the proportion equation
   22,862 : 49,468 = 49,468 : x
2. Step 2: Convert to fraction form
   22,862/49,468 = 49,468/x
3. Step 3: Cross multiply
   22,862x = 49,468 × 49,468
4. Step 4: Simplify right side
   22,862x = 2,447,083,024
5. Step 5: Solve for x
   x = 2,447,083,024/22,862
6. Step 6: Final answer
   x = 107,037.14