Finding the Third Proportional to 10,152 and 11,974.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 11,974.50 = 11,974.50 : x
2. Step 2: Convert to fraction form
   10,152/11,974.50 = 11,974.50/x
3. Step 3: Cross multiply
   10,152x = 11,974.50 × 11,974.50
4. Step 4: Simplify right side
   10,152x = 143,388,650.25
5. Step 5: Solve for x
   x = 143,388,650.25/10,152
6. Step 6: Final answer
   x = 14,124.18