Finding the Third Proportional to 9,878 and 13,580

Step by Step Solution

1. Step 1: Write the proportion equation
   9,878 : 13,580 = 13,580 : x
2. Step 2: Convert to fraction form
   9,878/13,580 = 13,580/x
3. Step 3: Cross multiply
   9,878x = 13,580 × 13,580
4. Step 4: Simplify right side
   9,878x = 184,416,400
5. Step 5: Solve for x
   x = 184,416,400/9,878
6. Step 6: Final answer
   x = 18,669.41