Finding the Third Proportional to 1,746.56 and 2,642.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,746.56 : 2,642.63 = 2,642.63 : x
2. Step 2: Convert to fraction form
   1,746.56/2,642.63 = 2,642.63/x
3. Step 3: Cross multiply
   1,746.56x = 2,642.63 × 2,642.63
4. Step 4: Simplify right side
   1,746.56x = 6,983,466.89
5. Step 5: Solve for x
   x = 6,983,466.89/1,746.56
6. Step 6: Final answer
   x = 3,998.41