Finding the Third Proportional to 10,182 and 14,329.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,182 : 14,329.50 = 14,329.50 : x
2. Step 2: Convert to fraction form
   10,182/14,329.50 = 14,329.50/x
3. Step 3: Cross multiply
   10,182x = 14,329.50 × 14,329.50
4. Step 4: Simplify right side
   10,182x = 205,334,570.25
5. Step 5: Solve for x
   x = 205,334,570.25/10,182
6. Step 6: Final answer
   x = 20,166.43