Finding the Third Proportional to 10,769.63 and 16,164.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.63 : 16,164.56 = 16,164.56 : x
2. Step 2: Convert to fraction form
   10,769.63/16,164.56 = 16,164.56/x
3. Step 3: Cross multiply
   10,769.63x = 16,164.56 × 16,164.56
4. Step 4: Simplify right side
   10,769.63x = 261,293,080.82
5. Step 5: Solve for x
   x = 261,293,080.82/10,769.63
6. Step 6: Final answer
   x = 24,262.04