Finding the Third Proportional to 1,384.88 and 1,865.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,384.88 : 1,865.81 = 1,865.81 : x
2. Step 2: Convert to fraction form
   1,384.88/1,865.81 = 1,865.81/x
3. Step 3: Cross multiply
   1,384.88x = 1,865.81 × 1,865.81
4. Step 4: Simplify right side
   1,384.88x = 3,481,256.29
5. Step 5: Solve for x
   x = 3,481,256.29/1,384.88
6. Step 6: Final answer
   x = 2,513.77