Finding the Third Proportional to 5,123.25 and 7,684.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123.25 : 7,684.88 = 7,684.88 : x
2. Step 2: Convert to fraction form
   5,123.25/7,684.88 = 7,684.88/x
3. Step 3: Cross multiply
   5,123.25x = 7,684.88 × 7,684.88
4. Step 4: Simplify right side
   5,123.25x = 59,057,303.77
5. Step 5: Solve for x
   x = 59,057,303.77/5,123.25
6. Step 6: Final answer
   x = 11,527.31