Finding the Third Proportional to 1,625.50 and 2,449.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,625.50 : 2,449.38 = 2,449.38 : x
2. Step 2: Convert to fraction form
   1,625.50/2,449.38 = 2,449.38/x
3. Step 3: Cross multiply
   1,625.50x = 2,449.38 × 2,449.38
4. Step 4: Simplify right side
   1,625.50x = 5,999,437.89
5. Step 5: Solve for x
   x = 5,999,437.89/1,625.50
6. Step 6: Final answer
   x = 3,690.83