Finding the Third Proportional to 2,174.63 and 5,131.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174.63 : 5,131.13 = 5,131.13 : x
2. Step 2: Convert to fraction form
   2,174.63/5,131.13 = 5,131.13/x
3. Step 3: Cross multiply
   2,174.63x = 5,131.13 × 5,131.13
4. Step 4: Simplify right side
   2,174.63x = 26,328,443.77
5. Step 5: Solve for x
   x = 26,328,443.77/2,174.63
6. Step 6: Final answer
   x = 12,107.12