Finding the Third Proportional to 1,948.50 and 2,287.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948.50 : 2,287.69 = 2,287.69 : x
2. Step 2: Convert to fraction form
   1,948.50/2,287.69 = 2,287.69/x
3. Step 3: Cross multiply
   1,948.50x = 2,287.69 × 2,287.69
4. Step 4: Simplify right side
   1,948.50x = 5,233,514.10
5. Step 5: Solve for x
   x = 5,233,514.10/1,948.50
6. Step 6: Final answer
   x = 2,685.92