Finding the Third Proportional to 2,007 and 2,656.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007 : 2,656.50 = 2,656.50 : x
2. Step 2: Convert to fraction form
   2,007/2,656.50 = 2,656.50/x
3. Step 3: Cross multiply
   2,007x = 2,656.50 × 2,656.50
4. Step 4: Simplify right side
   2,007x = 7,056,992.25
5. Step 5: Solve for x
   x = 7,056,992.25/2,007
6. Step 6: Final answer
   x = 3,516.19