Finding the Third Proportional to 9,506 and 13,962

Step by Step Solution

1. Step 1: Write the proportion equation
   9,506 : 13,962 = 13,962 : x
2. Step 2: Convert to fraction form
   9,506/13,962 = 13,962/x
3. Step 3: Cross multiply
   9,506x = 13,962 × 13,962
4. Step 4: Simplify right side
   9,506x = 194,937,444
5. Step 5: Solve for x
   x = 194,937,444/9,506
6. Step 6: Final answer
   x = 20,506.78