Finding the Third Proportional to 4,191.75 and 5,569.31

Step by Step Solution

1. Step 1: Write the proportion equation
   4,191.75 : 5,569.31 = 5,569.31 : x
2. Step 2: Convert to fraction form
   4,191.75/5,569.31 = 5,569.31/x
3. Step 3: Cross multiply
   4,191.75x = 5,569.31 × 5,569.31
4. Step 4: Simplify right side
   4,191.75x = 31,017,241.72
5. Step 5: Solve for x
   x = 31,017,241.72/4,191.75
6. Step 6: Final answer
   x = 7,399.59