Finding the Third Proportional to 7,769.81 and 12,268.13

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769.81 : 12,268.13 = 12,268.13 : x
2. Step 2: Convert to fraction form
   7,769.81/12,268.13 = 12,268.13/x
3. Step 3: Cross multiply
   7,769.81x = 12,268.13 × 12,268.13
4. Step 4: Simplify right side
   7,769.81x = 150,506,891.02
5. Step 5: Solve for x
   x = 150,506,891.02/7,769.81
6. Step 6: Final answer
   x = 19,370.72