Finding the Third Proportional to 1,461.09 and 3,269.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,461.09 : 3,269.53 = 3,269.53 : x
2. Step 2: Convert to fraction form
   1,461.09/3,269.53 = 3,269.53/x
3. Step 3: Cross multiply
   1,461.09x = 3,269.53 × 3,269.53
4. Step 4: Simplify right side
   1,461.09x = 10,689,834.59
5. Step 5: Solve for x
   x = 10,689,834.59/1,461.09
6. Step 6: Final answer
   x = 7,316.32