Finding the Third Proportional to 1,257 and 1,953.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,257 : 1,953.38 = 1,953.38 : x
2. Step 2: Convert to fraction form
   1,257/1,953.38 = 1,953.38/x
3. Step 3: Cross multiply
   1,257x = 1,953.38 × 1,953.38
4. Step 4: Simplify right side
   1,257x = 3,815,673.89
5. Step 5: Solve for x
   x = 3,815,673.89/1,257
6. Step 6: Final answer
   x = 3,035.54