Finding the Third Proportional to 5,640 and 12,146

Step by Step Solution

1. Step 1: Write the proportion equation
   5,640 : 12,146 = 12,146 : x
2. Step 2: Convert to fraction form
   5,640/12,146 = 12,146/x
3. Step 3: Cross multiply
   5,640x = 12,146 × 12,146
4. Step 4: Simplify right side
   5,640x = 147,525,316
5. Step 5: Solve for x
   x = 147,525,316/5,640
6. Step 6: Final answer
   x = 26,156.97