Finding the Third Proportional to 13,758.19 and 20,769.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,758.19 : 20,769.75 = 20,769.75 : x
2. Step 2: Convert to fraction form
   13,758.19/20,769.75 = 20,769.75/x
3. Step 3: Cross multiply
   13,758.19x = 20,769.75 × 20,769.75
4. Step 4: Simplify right side
   13,758.19x = 431,382,515.06
5. Step 5: Solve for x
   x = 431,382,515.06/13,758.19
6. Step 6: Final answer
   x = 31,354.60