Finding the Third Proportional to 2,969.50 and 4,026.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,969.50 : 4,026.75 = 4,026.75 : x
2. Step 2: Convert to fraction form
   2,969.50/4,026.75 = 4,026.75/x
3. Step 3: Cross multiply
   2,969.50x = 4,026.75 × 4,026.75
4. Step 4: Simplify right side
   2,969.50x = 16,214,715.56
5. Step 5: Solve for x
   x = 16,214,715.56/2,969.50
6. Step 6: Final answer
   x = 5,460.42