Finding the Third Proportional to 5,644.69 and 8,618.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,644.69 : 8,618.06 = 8,618.06 : x
2. Step 2: Convert to fraction form
   5,644.69/8,618.06 = 8,618.06/x
3. Step 3: Cross multiply
   5,644.69x = 8,618.06 × 8,618.06
4. Step 4: Simplify right side
   5,644.69x = 74,271,001.25
5. Step 5: Solve for x
   x = 74,271,001.25/5,644.69
6. Step 6: Final answer
   x = 13,157.68