Finding the Third Proportional to 9,580.50 and 13,587.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,580.50 : 13,587.75 = 13,587.75 : x
2. Step 2: Convert to fraction form
   9,580.50/13,587.75 = 13,587.75/x
3. Step 3: Cross multiply
   9,580.50x = 13,587.75 × 13,587.75
4. Step 4: Simplify right side
   9,580.50x = 184,626,950.06
5. Step 5: Solve for x
   x = 184,626,950.06/9,580.50
6. Step 6: Final answer
   x = 19,271.12