Finding the Third Proportional to 9,729 and 13,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,729 : 13,513.50 = 13,513.50 : x
2. Step 2: Convert to fraction form
   9,729/13,513.50 = 13,513.50/x
3. Step 3: Cross multiply
   9,729x = 13,513.50 × 13,513.50
4. Step 4: Simplify right side
   9,729x = 182,614,682.25
5. Step 5: Solve for x
   x = 182,614,682.25/9,729
6. Step 6: Final answer
   x = 18,770.14