Finding the Third Proportional to 4,213.69 and 9,075.38

Step by Step Solution

1. Step 1: Write the proportion equation
   4,213.69 : 9,075.38 = 9,075.38 : x
2. Step 2: Convert to fraction form
   4,213.69/9,075.38 = 9,075.38/x
3. Step 3: Cross multiply
   4,213.69x = 9,075.38 × 9,075.38
4. Step 4: Simplify right side
   4,213.69x = 82,362,431.39
5. Step 5: Solve for x
   x = 82,362,431.39/4,213.69
6. Step 6: Final answer
   x = 19,546.40