Finding the Third Proportional to 10,335.09 and 14,166.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,335.09 : 14,166.14 = 14,166.14 : x
2. Step 2: Convert to fraction form
   10,335.09/14,166.14 = 14,166.14/x
3. Step 3: Cross multiply
   10,335.09x = 14,166.14 × 14,166.14
4. Step 4: Simplify right side
   10,335.09x = 200,679,540.21
5. Step 5: Solve for x
   x = 200,679,540.21/10,335.09
6. Step 6: Final answer
   x = 19,417.29