Finding the Third Proportional to 5,131.69 and 7,734.23

Step by Step Solution

1. Step 1: Write the proportion equation
   5,131.69 : 7,734.23 = 7,734.23 : x
2. Step 2: Convert to fraction form
   5,131.69/7,734.23 = 7,734.23/x
3. Step 3: Cross multiply
   5,131.69x = 7,734.23 × 7,734.23
4. Step 4: Simplify right side
   5,131.69x = 59,818,381.37
5. Step 5: Solve for x
   x = 59,818,381.37/5,131.69
6. Step 6: Final answer
   x = 11,656.67