Finding the Third Proportional to 10,266.75 and 13,835.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,266.75 : 13,835.81 = 13,835.81 : x
2. Step 2: Convert to fraction form
   10,266.75/13,835.81 = 13,835.81/x
3. Step 3: Cross multiply
   10,266.75x = 13,835.81 × 13,835.81
4. Step 4: Simplify right side
   10,266.75x = 191,429,707.54
5. Step 5: Solve for x
   x = 191,429,707.54/10,266.75
6. Step 6: Final answer
   x = 18,645.60