Finding the Third Proportional to 1,384.17 and 1,864.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.17 : 1,864.79 = 1,864.79 : x
2. Step 2: Convert to fraction form
   1,384.17/1,864.79 = 1,864.79/x
3. Step 3: Cross multiply
   1,384.17x = 1,864.79 × 1,864.79
4. Step 4: Simplify right side
   1,384.17x = 3,477,452.82
5. Step 5: Solve for x
   x = 3,477,452.82/1,384.17
6. Step 6: Final answer
   x = 2,512.30