Finding the Third Proportional to 12,501.75 and 17,582.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,501.75 : 17,582.25 = 17,582.25 : x
2. Step 2: Convert to fraction form
   12,501.75/17,582.25 = 17,582.25/x
3. Step 3: Cross multiply
   12,501.75x = 17,582.25 × 17,582.25
4. Step 4: Simplify right side
   12,501.75x = 309,135,515.06
5. Step 5: Solve for x
   x = 309,135,515.06/12,501.75
6. Step 6: Final answer
   x = 24,727.38