Finding the Third Proportional to 2,633.63 and 3,853.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,633.63 : 3,853.13 = 3,853.13 : x
2. Step 2: Convert to fraction form
   2,633.63/3,853.13 = 3,853.13/x
3. Step 3: Cross multiply
   2,633.63x = 3,853.13 × 3,853.13
4. Step 4: Simplify right side
   2,633.63x = 14,846,572.27
5. Step 5: Solve for x
   x = 14,846,572.27/2,633.63
6. Step 6: Final answer
   x = 5,637.31