Finding the Third Proportional to 1,085.63 and 2,560.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.63 : 2,560.88 = 2,560.88 : x
2. Step 2: Convert to fraction form
   1,085.63/2,560.88 = 2,560.88/x
3. Step 3: Cross multiply
   1,085.63x = 2,560.88 × 2,560.88
4. Step 4: Simplify right side
   1,085.63x = 6,558,080.77
5. Step 5: Solve for x
   x = 6,558,080.77/1,085.63
6. Step 6: Final answer
   x = 6,040.83