Finding the Third Proportional to 10,714 and 17,152

Step by Step Solution

1. Step 1: Write the proportion equation
   10,714 : 17,152 = 17,152 : x
2. Step 2: Convert to fraction form
   10,714/17,152 = 17,152/x
3. Step 3: Cross multiply
   10,714x = 17,152 × 17,152
4. Step 4: Simplify right side
   10,714x = 294,191,104
5. Step 5: Solve for x
   x = 294,191,104/10,714
6. Step 6: Final answer
   x = 27,458.57