Finding the Third Proportional to 1,013.63 and 2,185.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,013.63 : 2,185.31 = 2,185.31 : x
2. Step 2: Convert to fraction form
   1,013.63/2,185.31 = 2,185.31/x
3. Step 3: Cross multiply
   1,013.63x = 2,185.31 × 2,185.31
4. Step 4: Simplify right side
   1,013.63x = 4,775,590.72
5. Step 5: Solve for x
   x = 4,775,590.72/1,013.63
6. Step 6: Final answer
   x = 4,711.40