Finding the Third Proportional to 1,746.56 and 4,080.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.56 : 4,080.38 = 4,080.38 : x
2. Step 2: Convert to fraction form
   1,746.56/4,080.38 = 4,080.38/x
3. Step 3: Cross multiply
   1,746.56x = 4,080.38 × 4,080.38
4. Step 4: Simplify right side
   1,746.56x = 16,649,460.14
5. Step 5: Solve for x
   x = 16,649,460.14/1,746.56
6. Step 6: Final answer
   x = 9,532.70