Finding the Third Proportional to 1,606.50 and 2,464.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,606.50 : 2,464.88 = 2,464.88 : x
2. Step 2: Convert to fraction form
   1,606.50/2,464.88 = 2,464.88/x
3. Step 3: Cross multiply
   1,606.50x = 2,464.88 × 2,464.88
4. Step 4: Simplify right side
   1,606.50x = 6,075,608.77
5. Step 5: Solve for x
   x = 6,075,608.77/1,606.50
6. Step 6: Final answer
   x = 3,781.89