Finding the Third Proportional to 2,243.63 and 4,599.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,243.63 : 4,599.38 = 4,599.38 : x
2. Step 2: Convert to fraction form
   2,243.63/4,599.38 = 4,599.38/x
3. Step 3: Cross multiply
   2,243.63x = 4,599.38 × 4,599.38
4. Step 4: Simplify right side
   2,243.63x = 21,154,250.39
5. Step 5: Solve for x
   x = 21,154,250.39/2,243.63
6. Step 6: Final answer
   x = 9,428.60