Finding the Third Proportional to 10,152 and 21,813

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 21,813 = 21,813 : x
2. Step 2: Convert to fraction form
   10,152/21,813 = 21,813/x
3. Step 3: Cross multiply
   10,152x = 21,813 × 21,813
4. Step 4: Simplify right side
   10,152x = 475,806,969
5. Step 5: Solve for x
   x = 475,806,969/10,152
6. Step 6: Final answer
   x = 46,868.30