Finding the Third Proportional to 1,201.08 and 2,599.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,201.08 : 2,599.59 = 2,599.59 : x
2. Step 2: Convert to fraction form
   1,201.08/2,599.59 = 2,599.59/x
3. Step 3: Cross multiply
   1,201.08x = 2,599.59 × 2,599.59
4. Step 4: Simplify right side
   1,201.08x = 6,757,887.67
5. Step 5: Solve for x
   x = 6,757,887.67/1,201.08
6. Step 6: Final answer
   x = 5,626.52