Finding the Third Proportional to 1,506.75 and 3,264.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,506.75 : 3,264.09 = 3,264.09 : x
2. Step 2: Convert to fraction form
   1,506.75/3,264.09 = 3,264.09/x
3. Step 3: Cross multiply
   1,506.75x = 3,264.09 × 3,264.09
4. Step 4: Simplify right side
   1,506.75x = 10,654,308.01
5. Step 5: Solve for x
   x = 10,654,308.01/1,506.75
6. Step 6: Final answer
   x = 7,071.05