Finding the Third Proportional to 2,411.63 and 3,685.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.63 : 3,685.13 = 3,685.13 : x
2. Step 2: Convert to fraction form
   2,411.63/3,685.13 = 3,685.13/x
3. Step 3: Cross multiply
   2,411.63x = 3,685.13 × 3,685.13
4. Step 4: Simplify right side
   2,411.63x = 13,580,146.27
5. Step 5: Solve for x
   x = 13,580,146.27/2,411.63
6. Step 6: Final answer
   x = 5,631.12