Finding the Third Proportional to 2,085.56 and 4,562.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.56 : 4,562.63 = 4,562.63 : x
2. Step 2: Convert to fraction form
   2,085.56/4,562.63 = 4,562.63/x
3. Step 3: Cross multiply
   2,085.56x = 4,562.63 × 4,562.63
4. Step 4: Simplify right side
   2,085.56x = 20,817,546.89
5. Step 5: Solve for x
   x = 20,817,546.89/2,085.56
6. Step 6: Final answer
   x = 9,981.74