Finding the Third Proportional to 10,184 and 13,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,184 : 13,517.50 = 13,517.50 : x
2. Step 2: Convert to fraction form
   10,184/13,517.50 = 13,517.50/x
3. Step 3: Cross multiply
   10,184x = 13,517.50 × 13,517.50
4. Step 4: Simplify right side
   10,184x = 182,722,806.25
5. Step 5: Solve for x
   x = 182,722,806.25/10,184
6. Step 6: Final answer
   x = 17,942.15