Finding the Third Proportional to 1,618.88 and 2,447.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,618.88 : 2,447.63 = 2,447.63 : x
2. Step 2: Convert to fraction form
   1,618.88/2,447.63 = 2,447.63/x
3. Step 3: Cross multiply
   1,618.88x = 2,447.63 × 2,447.63
4. Step 4: Simplify right side
   1,618.88x = 5,990,868.14
5. Step 5: Solve for x
   x = 5,990,868.14/1,618.88
6. Step 6: Final answer
   x = 3,700.64