Finding the Third Proportional to 9,100 and 13,714

Step by Step Solution

1. Step 1: Write the proportion equation
   9,100 : 13,714 = 13,714 : x
2. Step 2: Convert to fraction form
   9,100/13,714 = 13,714/x
3. Step 3: Cross multiply
   9,100x = 13,714 × 13,714
4. Step 4: Simplify right side
   9,100x = 188,073,796
5. Step 5: Solve for x
   x = 188,073,796/9,100
6. Step 6: Final answer
   x = 20,667.45