Finding the Third Proportional to 10,640 and 23,332

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 23,332 = 23,332 : x
2. Step 2: Convert to fraction form
   10,640/23,332 = 23,332/x
3. Step 3: Cross multiply
   10,640x = 23,332 × 23,332
4. Step 4: Simplify right side
   10,640x = 544,382,224
5. Step 5: Solve for x
   x = 544,382,224/10,640
6. Step 6: Final answer
   x = 51,163.74