Finding the Third Proportional to 7,788.75 and 12,080.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,788.75 : 12,080.25 = 12,080.25 : x
2. Step 2: Convert to fraction form
   7,788.75/12,080.25 = 12,080.25/x
3. Step 3: Cross multiply
   7,788.75x = 12,080.25 × 12,080.25
4. Step 4: Simplify right side
   7,788.75x = 145,932,440.06
5. Step 5: Solve for x
   x = 145,932,440.06/7,788.75
6. Step 6: Final answer
   x = 18,736.31