Finding the Third Proportional to 1,769.63 and 3,891.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,769.63 : 3,891.38 = 3,891.38 : x
2. Step 2: Convert to fraction form
   1,769.63/3,891.38 = 3,891.38/x
3. Step 3: Cross multiply
   1,769.63x = 3,891.38 × 3,891.38
4. Step 4: Simplify right side
   1,769.63x = 15,142,799.39
5. Step 5: Solve for x
   x = 15,142,799.39/1,769.63
6. Step 6: Final answer
   x = 8,557.07