Finding the Third Proportional to 9,013.78 and 17,822.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,013.78 : 17,822.53 = 17,822.53 : x
2. Step 2: Convert to fraction form
   9,013.78/17,822.53 = 17,822.53/x
3. Step 3: Cross multiply
   9,013.78x = 17,822.53 × 17,822.53
4. Step 4: Simplify right side
   9,013.78x = 317,642,620.16
5. Step 5: Solve for x
   x = 317,642,620.16/9,013.78
6. Step 6: Final answer
   x = 35,239.66