Finding the Third Proportional to 1,864.69 and 4,214.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,864.69 : 4,214.81 = 4,214.81 : x
2. Step 2: Convert to fraction form
   1,864.69/4,214.81 = 4,214.81/x
3. Step 3: Cross multiply
   1,864.69x = 4,214.81 × 4,214.81
4. Step 4: Simplify right side
   1,864.69x = 17,764,644.41
5. Step 5: Solve for x
   x = 17,764,644.41/1,864.69
6. Step 6: Final answer
   x = 9,526.87