Finding the Third Proportional to 5,040 and 10,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,040 : 10,579.50 = 10,579.50 : x
2. Step 2: Convert to fraction form
   5,040/10,579.50 = 10,579.50/x
3. Step 3: Cross multiply
   5,040x = 10,579.50 × 10,579.50
4. Step 4: Simplify right side
   5,040x = 111,925,820.25
5. Step 5: Solve for x
   x = 111,925,820.25/5,040
6. Step 6: Final answer
   x = 22,207.50