Finding the Third Proportional to 1,085.63 and 2,378.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.63 : 2,378.81 = 2,378.81 : x
2. Step 2: Convert to fraction form
   1,085.63/2,378.81 = 2,378.81/x
3. Step 3: Cross multiply
   1,085.63x = 2,378.81 × 2,378.81
4. Step 4: Simplify right side
   1,085.63x = 5,658,748.91
5. Step 5: Solve for x
   x = 5,658,748.91/1,085.63
6. Step 6: Final answer
   x = 5,212.43