Finding the Third Proportional to 1,085.63 and 2,563.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.63 : 2,563.88 = 2,563.88 : x
2. Step 2: Convert to fraction form
   1,085.63/2,563.88 = 2,563.88/x
3. Step 3: Cross multiply
   1,085.63x = 2,563.88 × 2,563.88
4. Step 4: Simplify right side
   1,085.63x = 6,573,455.02
5. Step 5: Solve for x
   x = 6,573,455.02/1,085.63
6. Step 6: Final answer
   x = 6,055.00