Finding the Third Proportional to 5,682 and 7,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,682 : 7,636.50 = 7,636.50 : x
2. Step 2: Convert to fraction form
   5,682/7,636.50 = 7,636.50/x
3. Step 3: Cross multiply
   5,682x = 7,636.50 × 7,636.50
4. Step 4: Simplify right side
   5,682x = 58,316,132.25
5. Step 5: Solve for x
   x = 58,316,132.25/5,682
6. Step 6: Final answer
   x = 10,263.31