Finding the Third Proportional to 5,597.86 and 8,535.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,597.86 : 8,535.38 = 8,535.38 : x
2. Step 2: Convert to fraction form
   5,597.86/8,535.38 = 8,535.38/x
3. Step 3: Cross multiply
   5,597.86x = 8,535.38 × 8,535.38
4. Step 4: Simplify right side
   5,597.86x = 72,852,626.39
5. Step 5: Solve for x
   x = 72,852,626.39/5,597.86
6. Step 6: Final answer
   x = 13,014.37