Finding the Third Proportional to 10,522 and 14,813

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522 : 14,813 = 14,813 : x
2. Step 2: Convert to fraction form
   10,522/14,813 = 14,813/x
3. Step 3: Cross multiply
   10,522x = 14,813 × 14,813
4. Step 4: Simplify right side
   10,522x = 219,424,969
5. Step 5: Solve for x
   x = 219,424,969/10,522
6. Step 6: Final answer
   x = 20,853.92