Finding the Third Proportional to 6,111.28 and 9,144.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,111.28 : 9,144.14 = 9,144.14 : x
2. Step 2: Convert to fraction form
   6,111.28/9,144.14 = 9,144.14/x
3. Step 3: Cross multiply
   6,111.28x = 9,144.14 × 9,144.14
4. Step 4: Simplify right side
   6,111.28x = 83,615,307.77
5. Step 5: Solve for x
   x = 83,615,307.77/6,111.28
6. Step 6: Final answer
   x = 13,682.12