Finding the Third Proportional to 1,026.56 and 2,175.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,026.56 : 2,175.94 = 2,175.94 : x
2. Step 2: Convert to fraction form
   1,026.56/2,175.94 = 2,175.94/x
3. Step 3: Cross multiply
   1,026.56x = 2,175.94 × 2,175.94
4. Step 4: Simplify right side
   1,026.56x = 4,734,704.00
5. Step 5: Solve for x
   x = 4,734,704.00/1,026.56
6. Step 6: Final answer
   x = 4,612.19