Finding the Third Proportional to 2,084.48 and 3,109.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,084.48 : 3,109.64 = 3,109.64 : x
2. Step 2: Convert to fraction form
   2,084.48/3,109.64 = 3,109.64/x
3. Step 3: Cross multiply
   2,084.48x = 3,109.64 × 3,109.64
4. Step 4: Simplify right side
   2,084.48x = 9,669,864.82
5. Step 5: Solve for x
   x = 9,669,864.82/2,084.48
6. Step 6: Final answer
   x = 4,638.97