Finding the Third Proportional to 5,663.25 and 8,619.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.25 : 8,619.75 = 8,619.75 : x
2. Step 2: Convert to fraction form
   5,663.25/8,619.75 = 8,619.75/x
3. Step 3: Cross multiply
   5,663.25x = 8,619.75 × 8,619.75
4. Step 4: Simplify right side
   5,663.25x = 74,300,090.06
5. Step 5: Solve for x
   x = 74,300,090.06/5,663.25
6. Step 6: Final answer
   x = 13,119.69