Finding the Third Proportional to 10,095.75 and 18,193.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,095.75 : 18,193.50 = 18,193.50 : x
2. Step 2: Convert to fraction form
   10,095.75/18,193.50 = 18,193.50/x
3. Step 3: Cross multiply
   10,095.75x = 18,193.50 × 18,193.50
4. Step 4: Simplify right side
   10,095.75x = 331,003,442.25
5. Step 5: Solve for x
   x = 331,003,442.25/10,095.75
6. Step 6: Final answer
   x = 32,786.41