Finding the Third Proportional to 10,640 and 22,435

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640 : 22,435 = 22,435 : x
2. Step 2: Convert to fraction form
   10,640/22,435 = 22,435/x
3. Step 3: Cross multiply
   10,640x = 22,435 × 22,435
4. Step 4: Simplify right side
   10,640x = 503,329,225
5. Step 5: Solve for x
   x = 503,329,225/10,640
6. Step 6: Final answer
   x = 47,305.38