Finding the Third Proportional to 1,633.41 and 2,411.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,633.41 : 2,411.63 = 2,411.63 : x
2. Step 2: Convert to fraction form
   1,633.41/2,411.63 = 2,411.63/x
3. Step 3: Cross multiply
   1,633.41x = 2,411.63 × 2,411.63
4. Step 4: Simplify right side
   1,633.41x = 5,815,935.14
5. Step 5: Solve for x
   x = 5,815,935.14/1,633.41
6. Step 6: Final answer
   x = 3,560.62