Finding the Third Proportional to 1,005.75 and 1,546.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.75 : 1,546.88 = 1,546.88 : x
2. Step 2: Convert to fraction form
   1,005.75/1,546.88 = 1,546.88/x
3. Step 3: Cross multiply
   1,005.75x = 1,546.88 × 1,546.88
4. Step 4: Simplify right side
   1,005.75x = 2,392,822.27
5. Step 5: Solve for x
   x = 2,392,822.27/1,005.75
6. Step 6: Final answer
   x = 2,379.14