Finding the Third Proportional to 10,172 and 13,410

Step by Step Solution

1. Step 1: Write the proportion equation
   10,172 : 13,410 = 13,410 : x
2. Step 2: Convert to fraction form
   10,172/13,410 = 13,410/x
3. Step 3: Cross multiply
   10,172x = 13,410 × 13,410
4. Step 4: Simplify right side
   10,172x = 179,828,100
5. Step 5: Solve for x
   x = 179,828,100/10,172
6. Step 6: Final answer
   x = 17,678.74