Finding the Third Proportional to 10,381.50 and 21,993.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.50 : 21,993.75 = 21,993.75 : x
2. Step 2: Convert to fraction form
   10,381.50/21,993.75 = 21,993.75/x
3. Step 3: Cross multiply
   10,381.50x = 21,993.75 × 21,993.75
4. Step 4: Simplify right side
   10,381.50x = 483,725,039.06
5. Step 5: Solve for x
   x = 483,725,039.06/10,381.50
6. Step 6: Final answer
   x = 46,594.91