Finding the Third Proportional to 10,095 and 21,513

Step by Step Solution

1. Step 1: Write the proportion equation
   10,095 : 21,513 = 21,513 : x
2. Step 2: Convert to fraction form
   10,095/21,513 = 21,513/x
3. Step 3: Cross multiply
   10,095x = 21,513 × 21,513
4. Step 4: Simplify right side
   10,095x = 462,809,169
5. Step 5: Solve for x
   x = 462,809,169/10,095
6. Step 6: Final answer
   x = 45,845.39