Finding the Third Proportional to 12,109.66 and 17,686.08

Step by Step Solution

1. Step 1: Write the proportion equation
   12,109.66 : 17,686.08 = 17,686.08 : x
2. Step 2: Convert to fraction form
   12,109.66/17,686.08 = 17,686.08/x
3. Step 3: Cross multiply
   12,109.66x = 17,686.08 × 17,686.08
4. Step 4: Simplify right side
   12,109.66x = 312,797,463.07
5. Step 5: Solve for x
   x = 312,797,463.07/12,109.66
6. Step 6: Final answer
   x = 25,830.41