Finding the Third Proportional to 10,588 and 14,962

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588 : 14,962 = 14,962 : x
2. Step 2: Convert to fraction form
   10,588/14,962 = 14,962/x
3. Step 3: Cross multiply
   10,588x = 14,962 × 14,962
4. Step 4: Simplify right side
   10,588x = 223,861,444
5. Step 5: Solve for x
   x = 223,861,444/10,588
6. Step 6: Final answer
   x = 21,142.94