Finding the Third Proportional to 22,824 and 48,870

Step by Step Solution

1. Step 1: Write the proportion equation
   22,824 : 48,870 = 48,870 : x
2. Step 2: Convert to fraction form
   22,824/48,870 = 48,870/x
3. Step 3: Cross multiply
   22,824x = 48,870 × 48,870
4. Step 4: Simplify right side
   22,824x = 2,388,276,900
5. Step 5: Solve for x
   x = 2,388,276,900/22,824
6. Step 6: Final answer
   x = 104,638.84