Finding the Third Proportional to 1,738.38 and 3,620.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.38 : 3,620.63 = 3,620.63 : x
2. Step 2: Convert to fraction form
   1,738.38/3,620.63 = 3,620.63/x
3. Step 3: Cross multiply
   1,738.38x = 3,620.63 × 3,620.63
4. Step 4: Simplify right side
   1,738.38x = 13,108,925.39
5. Step 5: Solve for x
   x = 13,108,925.39/1,738.38
6. Step 6: Final answer
   x = 7,540.91