Finding the Third Proportional to 2,065.50 and 4,461.33

Step by Step Solution

1. Step 1: Write the proportion equation
   2,065.50 : 4,461.33 = 4,461.33 : x
2. Step 2: Convert to fraction form
   2,065.50/4,461.33 = 4,461.33/x
3. Step 3: Cross multiply
   2,065.50x = 4,461.33 × 4,461.33
4. Step 4: Simplify right side
   2,065.50x = 19,903,448.64
5. Step 5: Solve for x
   x = 19,903,448.64/2,065.50
6. Step 6: Final answer
   x = 9,636.14