Finding the Third Proportional to 1,353.75 and 2,966.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.75 : 2,966.06 = 2,966.06 : x
2. Step 2: Convert to fraction form
   1,353.75/2,966.06 = 2,966.06/x
3. Step 3: Cross multiply
   1,353.75x = 2,966.06 × 2,966.06
4. Step 4: Simplify right side
   1,353.75x = 8,797,526.75
5. Step 5: Solve for x
   x = 8,797,526.75/1,353.75
6. Step 6: Final answer
   x = 6,498.63