Finding the Third Proportional to 10,232 and 14,172

Step by Step Solution

1. Step 1: Write the proportion equation
   10,232 : 14,172 = 14,172 : x
2. Step 2: Convert to fraction form
   10,232/14,172 = 14,172/x
3. Step 3: Cross multiply
   10,232x = 14,172 × 14,172
4. Step 4: Simplify right side
   10,232x = 200,845,584
5. Step 5: Solve for x
   x = 200,845,584/10,232
6. Step 6: Final answer
   x = 19,629.16