Finding the Third Proportional to 1,742.63 and 3,072.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,742.63 : 3,072.38 = 3,072.38 : x
2. Step 2: Convert to fraction form
   1,742.63/3,072.38 = 3,072.38/x
3. Step 3: Cross multiply
   1,742.63x = 3,072.38 × 3,072.38
4. Step 4: Simplify right side
   1,742.63x = 9,439,488.14
5. Step 5: Solve for x
   x = 9,439,488.14/1,742.63
6. Step 6: Final answer
   x = 5,416.82