Finding the Third Proportional to 1,290 and 2,914.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,290 : 2,914.69 = 2,914.69 : x
2. Step 2: Convert to fraction form
   1,290/2,914.69 = 2,914.69/x
3. Step 3: Cross multiply
   1,290x = 2,914.69 × 2,914.69
4. Step 4: Simplify right side
   1,290x = 8,495,403.22
5. Step 5: Solve for x
   x = 8,495,403.22/1,290
6. Step 6: Final answer
   x = 6,585.58