Finding the Third Proportional to 10,214.25 and 14,066.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,214.25 : 14,066.25 = 14,066.25 : x
2. Step 2: Convert to fraction form
   10,214.25/14,066.25 = 14,066.25/x
3. Step 3: Cross multiply
   10,214.25x = 14,066.25 × 14,066.25
4. Step 4: Simplify right side
   10,214.25x = 197,859,389.06
5. Step 5: Solve for x
   x = 197,859,389.06/10,214.25
6. Step 6: Final answer
   x = 19,370.92