Finding the Third Proportional to 1,459.13 and 3,627.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,459.13 : 3,627.56 = 3,627.56 : x
2. Step 2: Convert to fraction form
   1,459.13/3,627.56 = 3,627.56/x
3. Step 3: Cross multiply
   1,459.13x = 3,627.56 × 3,627.56
4. Step 4: Simplify right side
   1,459.13x = 13,159,209.69
5. Step 5: Solve for x
   x = 13,159,209.69/1,459.13
6. Step 6: Final answer
   x = 9,018.56