Finding the Third Proportional to 5,663.25 and 13,469.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.25 : 13,469.63 = 13,469.63 : x
2. Step 2: Convert to fraction form
   5,663.25/13,469.63 = 13,469.63/x
3. Step 3: Cross multiply
   5,663.25x = 13,469.63 × 13,469.63
4. Step 4: Simplify right side
   5,663.25x = 181,430,797.64
5. Step 5: Solve for x
   x = 181,430,797.64/5,663.25
6. Step 6: Final answer
   x = 32,036.52