Finding the Third Proportional to 7,683 and 12,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,683 : 12,322.50 = 12,322.50 : x
2. Step 2: Convert to fraction form
   7,683/12,322.50 = 12,322.50/x
3. Step 3: Cross multiply
   7,683x = 12,322.50 × 12,322.50
4. Step 4: Simplify right side
   7,683x = 151,844,006.25
5. Step 5: Solve for x
   x = 151,844,006.25/7,683
6. Step 6: Final answer
   x = 19,763.63