Finding the Third Proportional to 9,480.80 and 13,878.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,480.80 : 13,878.53 = 13,878.53 : x
2. Step 2: Convert to fraction form
   9,480.80/13,878.53 = 13,878.53/x
3. Step 3: Cross multiply
   9,480.80x = 13,878.53 × 13,878.53
4. Step 4: Simplify right side
   9,480.80x = 192,613,521.23
5. Step 5: Solve for x
   x = 192,613,521.23/9,480.80
6. Step 6: Final answer
   x = 20,316.17