Finding the Third Proportional to 2,876.50 and 4,546.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,876.50 : 4,546.50 = 4,546.50 : x
2. Step 2: Convert to fraction form
   2,876.50/4,546.50 = 4,546.50/x
3. Step 3: Cross multiply
   2,876.50x = 4,546.50 × 4,546.50
4. Step 4: Simplify right side
   2,876.50x = 20,670,662.25
5. Step 5: Solve for x
   x = 20,670,662.25/2,876.50
6. Step 6: Final answer
   x = 7,186.05