Finding the Third Proportional to 1,463.63 and 1,986.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,463.63 : 1,986.94 = 1,986.94 : x
2. Step 2: Convert to fraction form
   1,463.63/1,986.94 = 1,986.94/x
3. Step 3: Cross multiply
   1,463.63x = 1,986.94 × 1,986.94
4. Step 4: Simplify right side
   1,463.63x = 3,947,920.63
5. Step 5: Solve for x
   x = 3,947,920.63/1,463.63
6. Step 6: Final answer
   x = 2,697.36