Finding the Third Proportional to 10,640.25 and 23,042.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,640.25 : 23,042.25 = 23,042.25 : x
2. Step 2: Convert to fraction form
   10,640.25/23,042.25 = 23,042.25/x
3. Step 3: Cross multiply
   10,640.25x = 23,042.25 × 23,042.25
4. Step 4: Simplify right side
   10,640.25x = 530,945,285.06
5. Step 5: Solve for x
   x = 530,945,285.06/10,640.25
6. Step 6: Final answer
   x = 49,899.70