Finding the Third Proportional to 1,948.22 and 2,107.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948.22 : 2,107.69 = 2,107.69 : x
2. Step 2: Convert to fraction form
   1,948.22/2,107.69 = 2,107.69/x
3. Step 3: Cross multiply
   1,948.22x = 2,107.69 × 2,107.69
4. Step 4: Simplify right side
   1,948.22x = 4,442,346.60
5. Step 5: Solve for x
   x = 4,442,346.60/1,948.22
6. Step 6: Final answer
   x = 2,280.21