Finding the Third Proportional to 1,949.13 and 3,718.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,949.13 : 3,718.63 = 3,718.63 : x
2. Step 2: Convert to fraction form
   1,949.13/3,718.63 = 3,718.63/x
3. Step 3: Cross multiply
   1,949.13x = 3,718.63 × 3,718.63
4. Step 4: Simplify right side
   1,949.13x = 13,828,171.89
5. Step 5: Solve for x
   x = 13,828,171.89/1,949.13
6. Step 6: Final answer
   x = 7,094.55