Finding the Third Proportional to 2,706.75 and 4,654.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.75 : 4,654.88 = 4,654.88 : x
2. Step 2: Convert to fraction form
   2,706.75/4,654.88 = 4,654.88/x
3. Step 3: Cross multiply
   2,706.75x = 4,654.88 × 4,654.88
4. Step 4: Simplify right side
   2,706.75x = 21,667,861.27
5. Step 5: Solve for x
   x = 21,667,861.27/2,706.75
6. Step 6: Final answer
   x = 8,005.12