Finding the Third Proportional to 784.69 and 1,864.27

Step by Step Solution

1. Step 1: Write the proportion equation
   784.69 : 1,864.27 = 1,864.27 : x
2. Step 2: Convert to fraction form
   784.69/1,864.27 = 1,864.27/x
3. Step 3: Cross multiply
   784.69x = 1,864.27 × 1,864.27
4. Step 4: Simplify right side
   784.69x = 3,475,486.32
5. Step 5: Solve for x
   x = 3,475,486.32/784.69
6. Step 6: Final answer
   x = 4,429.13