Finding the Third Proportional to 9,580 and 13,412

Step by Step Solution

1. Step 1: Write the proportion equation
   9,580 : 13,412 = 13,412 : x
2. Step 2: Convert to fraction form
   9,580/13,412 = 13,412/x
3. Step 3: Cross multiply
   9,580x = 13,412 × 13,412
4. Step 4: Simplify right side
   9,580x = 179,881,744
5. Step 5: Solve for x
   x = 179,881,744/9,580
6. Step 6: Final answer
   x = 18,776.80