Finding the Third Proportional to 10,586 and 21,716.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586 : 21,716.50 = 21,716.50 : x
2. Step 2: Convert to fraction form
   10,586/21,716.50 = 21,716.50/x
3. Step 3: Cross multiply
   10,586x = 21,716.50 × 21,716.50
4. Step 4: Simplify right side
   10,586x = 471,606,372.25
5. Step 5: Solve for x
   x = 471,606,372.25/10,586
6. Step 6: Final answer
   x = 44,550.01