Finding the Third Proportional to 1,618.50 and 3,655.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,618.50 : 3,655.88 = 3,655.88 : x
2. Step 2: Convert to fraction form
   1,618.50/3,655.88 = 3,655.88/x
3. Step 3: Cross multiply
   1,618.50x = 3,655.88 × 3,655.88
4. Step 4: Simplify right side
   1,618.50x = 13,365,422.02
5. Step 5: Solve for x
   x = 13,365,422.02/1,618.50
6. Step 6: Final answer
   x = 8,257.91