Finding the Third Proportional to 10,588 and 23,048

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 23,048 = 23,048 : x
2. Step 2: Convert to fraction form
   10,588/23,048 = 23,048/x
3. Step 3: Cross multiply
   10,588x = 23,048 × 23,048
4. Step 4: Simplify right side
   10,588x = 531,210,304
5. Step 5: Solve for x
   x = 531,210,304/10,588
6. Step 6: Final answer
   x = 50,170.98