Finding the Third Proportional to 7,509.50 and 10,181.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,509.50 : 10,181.50 = 10,181.50 : x
2. Step 2: Convert to fraction form
   7,509.50/10,181.50 = 10,181.50/x
3. Step 3: Cross multiply
   7,509.50x = 10,181.50 × 10,181.50
4. Step 4: Simplify right side
   7,509.50x = 103,662,942.25
5. Step 5: Solve for x
   x = 103,662,942.25/7,509.50
6. Step 6: Final answer
   x = 13,804.24