Finding the Third Proportional to 2,097.94 and 4,461.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.94 : 4,461.38 = 4,461.38 : x
2. Step 2: Convert to fraction form
   2,097.94/4,461.38 = 4,461.38/x
3. Step 3: Cross multiply
   2,097.94x = 4,461.38 × 4,461.38
4. Step 4: Simplify right side
   2,097.94x = 19,903,866.89
5. Step 5: Solve for x
   x = 19,903,866.89/2,097.94
6. Step 6: Final answer
   x = 9,487.35