Finding the Third Proportional to 7,652 and 10,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,652 : 10,083.50 = 10,083.50 : x
2. Step 2: Convert to fraction form
   7,652/10,083.50 = 10,083.50/x
3. Step 3: Cross multiply
   7,652x = 10,083.50 × 10,083.50
4. Step 4: Simplify right side
   7,652x = 101,676,972.25
5. Step 5: Solve for x
   x = 101,676,972.25/7,652
6. Step 6: Final answer
   x = 13,287.63