Finding the Third Proportional to 6,255.14 and 13,823.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,255.14 : 13,823.16 = 13,823.16 : x
2. Step 2: Convert to fraction form
   6,255.14/13,823.16 = 13,823.16/x
3. Step 3: Cross multiply
   6,255.14x = 13,823.16 × 13,823.16
4. Step 4: Simplify right side
   6,255.14x = 191,079,648.71
5. Step 5: Solve for x
   x = 191,079,648.71/6,255.14
6. Step 6: Final answer
   x = 30,547.62