Finding the Third Proportional to 10,640 and 23,124

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 23,124 = 23,124 : x
2. Step 2: Convert to fraction form
   10,640/23,124 = 23,124/x
3. Step 3: Cross multiply
   10,640x = 23,124 × 23,124
4. Step 4: Simplify right side
   10,640x = 534,719,376
5. Step 5: Solve for x
   x = 534,719,376/10,640
6. Step 6: Final answer
   x = 50,255.58