Finding the Third Proportional to 1,458.84 and 2,951.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.84 : 2,951.86 = 2,951.86 : x
2. Step 2: Convert to fraction form
   1,458.84/2,951.86 = 2,951.86/x
3. Step 3: Cross multiply
   1,458.84x = 2,951.86 × 2,951.86
4. Step 4: Simplify right side
   1,458.84x = 8,713,473.77
5. Step 5: Solve for x
   x = 8,713,473.77/1,458.84
6. Step 6: Final answer
   x = 5,972.86