Finding the Third Proportional to 10,221.19 and 13,735.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,221.19 : 13,735.69 = 13,735.69 : x
2. Step 2: Convert to fraction form
   10,221.19/13,735.69 = 13,735.69/x
3. Step 3: Cross multiply
   10,221.19x = 13,735.69 × 13,735.69
4. Step 4: Simplify right side
   10,221.19x = 188,669,111.10
5. Step 5: Solve for x
   x = 188,669,111.10/10,221.19
6. Step 6: Final answer
   x = 18,458.63