Finding the Third Proportional to 10,460 and 14,191

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460 : 14,191 = 14,191 : x
2. Step 2: Convert to fraction form
   10,460/14,191 = 14,191/x
3. Step 3: Cross multiply
   10,460x = 14,191 × 14,191
4. Step 4: Simplify right side
   10,460x = 201,384,481
5. Step 5: Solve for x
   x = 201,384,481/10,460
6. Step 6: Final answer
   x = 19,252.82