Finding the Third Proportional to 23,567 and 51,280

Step by Step Solution

1. Step 1: Write the proportion equation
   23,567 : 51,280 = 51,280 : x
2. Step 2: Convert to fraction form
   23,567/51,280 = 51,280/x
3. Step 3: Cross multiply
   23,567x = 51,280 × 51,280
4. Step 4: Simplify right side
   23,567x = 2,629,638,400
5. Step 5: Solve for x
   x = 2,629,638,400/23,567
6. Step 6: Final answer
   x = 111,581.38