Finding the Third Proportional to 6,196 and 12,080

Step by Step Solution

1. Step 1: Write the proportion equation
   6,196 : 12,080 = 12,080 : x
2. Step 2: Convert to fraction form
   6,196/12,080 = 12,080/x
3. Step 3: Cross multiply
   6,196x = 12,080 × 12,080
4. Step 4: Simplify right side
   6,196x = 145,926,400
5. Step 5: Solve for x
   x = 145,926,400/6,196
6. Step 6: Final answer
   x = 23,551.71