Finding the Third Proportional to 10,820 and 23,888

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 23,888 = 23,888 : x
2. Step 2: Convert to fraction form
   10,820/23,888 = 23,888/x
3. Step 3: Cross multiply
   10,820x = 23,888 × 23,888
4. Step 4: Simplify right side
   10,820x = 570,636,544
5. Step 5: Solve for x
   x = 570,636,544/10,820
6. Step 6: Final answer
   x = 52,739.05