Finding the Third Proportional to 9,927 and 13,518.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,927 : 13,518.50 = 13,518.50 : x
2. Step 2: Convert to fraction form
   9,927/13,518.50 = 13,518.50/x
3. Step 3: Cross multiply
   9,927x = 13,518.50 × 13,518.50
4. Step 4: Simplify right side
   9,927x = 182,749,842.25
5. Step 5: Solve for x
   x = 182,749,842.25/9,927
6. Step 6: Final answer
   x = 18,409.37