Finding the Third Proportional to 1,934.50 and 3,076.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,934.50 : 3,076.75 = 3,076.75 : x
2. Step 2: Convert to fraction form
   1,934.50/3,076.75 = 3,076.75/x
3. Step 3: Cross multiply
   1,934.50x = 3,076.75 × 3,076.75
4. Step 4: Simplify right side
   1,934.50x = 9,466,390.56
5. Step 5: Solve for x
   x = 9,466,390.56/1,934.50
6. Step 6: Final answer
   x = 4,893.46