Finding the Third Proportional to 10,365.75 and 15,635.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,365.75 : 15,635.25 = 15,635.25 : x
2. Step 2: Convert to fraction form
   10,365.75/15,635.25 = 15,635.25/x
3. Step 3: Cross multiply
   10,365.75x = 15,635.25 × 15,635.25
4. Step 4: Simplify right side
   10,365.75x = 244,461,042.56
5. Step 5: Solve for x
   x = 244,461,042.56/10,365.75
6. Step 6: Final answer
   x = 23,583.54