Finding the Third Proportional to 10,185.75 and 21,844.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 21,844.69 = 21,844.69 : x
2. Step 2: Convert to fraction form
   10,185.75/21,844.69 = 21,844.69/x
3. Step 3: Cross multiply
   10,185.75x = 21,844.69 × 21,844.69
4. Step 4: Simplify right side
   10,185.75x = 477,190,371.97
5. Step 5: Solve for x
   x = 477,190,371.97/10,185.75
6. Step 6: Final answer
   x = 46,848.82