Finding the Third Proportional to 10,040 and 23,454

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040 : 23,454 = 23,454 : x
2. Step 2: Convert to fraction form
   10,040/23,454 = 23,454/x
3. Step 3: Cross multiply
   10,040x = 23,454 × 23,454
4. Step 4: Simplify right side
   10,040x = 550,090,116
5. Step 5: Solve for x
   x = 550,090,116/10,040
6. Step 6: Final answer
   x = 54,789.85