Finding the Third Proportional to 1,627.44 and 3,499.95

Step by Step Solution

1. Step 1: Write the proportion equation
   1,627.44 : 3,499.95 = 3,499.95 : x
2. Step 2: Convert to fraction form
   1,627.44/3,499.95 = 3,499.95/x
3. Step 3: Cross multiply
   1,627.44x = 3,499.95 × 3,499.95
4. Step 4: Simplify right side
   1,627.44x = 12,249,632.57
5. Step 5: Solve for x
   x = 12,249,632.57/1,627.44
6. Step 6: Final answer
   x = 7,526.95