Finding the Third Proportional to 12,105 and 17,953.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,105 : 17,953.50 = 17,953.50 : x
2. Step 2: Convert to fraction form
   12,105/17,953.50 = 17,953.50/x
3. Step 3: Cross multiply
   12,105x = 17,953.50 × 17,953.50
4. Step 4: Simplify right side
   12,105x = 322,328,162.25
5. Step 5: Solve for x
   x = 322,328,162.25/12,105
6. Step 6: Final answer
   x = 26,627.69