Finding the Third Proportional to 5,240 and 14,172

Step by Step Solution

1. Step 1: Write the proportion equation
   5,240 : 14,172 = 14,172 : x
2. Step 2: Convert to fraction form
   5,240/14,172 = 14,172/x
3. Step 3: Cross multiply
   5,240x = 14,172 × 14,172
4. Step 4: Simplify right side
   5,240x = 200,845,584
5. Step 5: Solve for x
   x = 200,845,584/5,240
6. Step 6: Final answer
   x = 38,329.31