Finding the Third Proportional to 10,086 and 15,166.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,086 : 15,166.50 = 15,166.50 : x
2. Step 2: Convert to fraction form
   10,086/15,166.50 = 15,166.50/x
3. Step 3: Cross multiply
   10,086x = 15,166.50 × 15,166.50
4. Step 4: Simplify right side
   10,086x = 230,022,722.25
5. Step 5: Solve for x
   x = 230,022,722.25/10,086
6. Step 6: Final answer
   x = 22,806.14