Finding the Third Proportional to 1,409.63 and 2,185.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.63 : 2,185.88 = 2,185.88 : x
2. Step 2: Convert to fraction form
   1,409.63/2,185.88 = 2,185.88/x
3. Step 3: Cross multiply
   1,409.63x = 2,185.88 × 2,185.88
4. Step 4: Simplify right side
   1,409.63x = 4,778,049.52
5. Step 5: Solve for x
   x = 4,778,049.52/1,409.63
6. Step 6: Final answer
   x = 3,389.59