Finding the Third Proportional to 1,004.06 and 1,905.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.06 : 1,905.61 = 1,905.61 : x
2. Step 2: Convert to fraction form
   1,004.06/1,905.61 = 1,905.61/x
3. Step 3: Cross multiply
   1,004.06x = 1,905.61 × 1,905.61
4. Step 4: Simplify right side
   1,004.06x = 3,631,347.09
5. Step 5: Solve for x
   x = 3,631,347.09/1,004.06
6. Step 6: Final answer
   x = 3,616.65