Finding the Third Proportional to 11,620.13 and 12,578.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,620.13 : 12,578.63 = 12,578.63 : x
2. Step 2: Convert to fraction form
   11,620.13/12,578.63 = 12,578.63/x
3. Step 3: Cross multiply
   11,620.13x = 12,578.63 × 12,578.63
4. Step 4: Simplify right side
   11,620.13x = 158,221,806.89
5. Step 5: Solve for x
   x = 158,221,806.89/11,620.13
6. Step 6: Final answer
   x = 13,616.19