Finding the Third Proportional to 10,300 and 21,813

Step by Step Solution

1. Step 1: Write the proportion equation
   10,300 : 21,813 = 21,813 : x
2. Step 2: Convert to fraction form
   10,300/21,813 = 21,813/x
3. Step 3: Cross multiply
   10,300x = 21,813 × 21,813
4. Step 4: Simplify right side
   10,300x = 475,806,969
5. Step 5: Solve for x
   x = 475,806,969/10,300
6. Step 6: Final answer
   x = 46,194.85