Finding the Third Proportional to 10,039.78 and 21,633.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,039.78 : 21,633.75 = 21,633.75 : x
2. Step 2: Convert to fraction form
   10,039.78/21,633.75 = 21,633.75/x
3. Step 3: Cross multiply
   10,039.78x = 21,633.75 × 21,633.75
4. Step 4: Simplify right side
   10,039.78x = 468,019,139.06
5. Step 5: Solve for x
   x = 468,019,139.06/10,039.78
6. Step 6: Final answer
   x = 46,616.47