Finding the Third Proportional to 1,147.61 and 1,618.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,147.61 : 1,618.89 = 1,618.89 : x
2. Step 2: Convert to fraction form
   1,147.61/1,618.89 = 1,618.89/x
3. Step 3: Cross multiply
   1,147.61x = 1,618.89 × 1,618.89
4. Step 4: Simplify right side
   1,147.61x = 2,620,813.18
5. Step 5: Solve for x
   x = 2,620,813.18/1,147.61
6. Step 6: Final answer
   x = 2,283.72