Finding the Third Proportional to 4,904.75 and 10,726.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,904.75 : 10,726.50 = 10,726.50 : x
2. Step 2: Convert to fraction form
   4,904.75/10,726.50 = 10,726.50/x
3. Step 3: Cross multiply
   4,904.75x = 10,726.50 × 10,726.50
4. Step 4: Simplify right side
   4,904.75x = 115,057,802.25
5. Step 5: Solve for x
   x = 115,057,802.25/4,904.75
6. Step 6: Final answer
   x = 23,458.44