Finding the Third Proportional to 7,683.50 and 10,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,683.50 : 10,428.50 = 10,428.50 : x
2. Step 2: Convert to fraction form
   7,683.50/10,428.50 = 10,428.50/x
3. Step 3: Cross multiply
   7,683.50x = 10,428.50 × 10,428.50
4. Step 4: Simplify right side
   7,683.50x = 108,753,612.25
5. Step 5: Solve for x
   x = 108,753,612.25/7,683.50
6. Step 6: Final answer
   x = 14,154.18