Finding the Third Proportional to 11,643.50 and 23,827

Step by Step Solution

1. Step 1: Write the proportion equation
   11,643.50 : 23,827 = 23,827 : x
2. Step 2: Convert to fraction form
   11,643.50/23,827 = 23,827/x
3. Step 3: Cross multiply
   11,643.50x = 23,827 × 23,827
4. Step 4: Simplify right side
   11,643.50x = 567,725,929
5. Step 5: Solve for x
   x = 567,725,929/11,643.50
6. Step 6: Final answer
   x = 48,759.04