Finding the Third Proportional to 10,488 and 23,048.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,488 : 23,048.50 = 23,048.50 : x
2. Step 2: Convert to fraction form
   10,488/23,048.50 = 23,048.50/x
3. Step 3: Cross multiply
   10,488x = 23,048.50 × 23,048.50
4. Step 4: Simplify right side
   10,488x = 531,233,352.25
5. Step 5: Solve for x
   x = 531,233,352.25/10,488
6. Step 6: Final answer
   x = 50,651.54