Finding the Third Proportional to 7,769.25 and 12,111.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769.25 : 12,111.75 = 12,111.75 : x
2. Step 2: Convert to fraction form
   7,769.25/12,111.75 = 12,111.75/x
3. Step 3: Cross multiply
   7,769.25x = 12,111.75 × 12,111.75
4. Step 4: Simplify right side
   7,769.25x = 146,694,488.06
5. Step 5: Solve for x
   x = 146,694,488.06/7,769.25
6. Step 6: Final answer
   x = 18,881.42