Finding the Third Proportional to 11,885.25 and 17,791.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,885.25 : 17,791.50 = 17,791.50 : x
2. Step 2: Convert to fraction form
   11,885.25/17,791.50 = 17,791.50/x
3. Step 3: Cross multiply
   11,885.25x = 17,791.50 × 17,791.50
4. Step 4: Simplify right side
   11,885.25x = 316,537,472.25
5. Step 5: Solve for x
   x = 316,537,472.25/11,885.25
6. Step 6: Final answer
   x = 26,632.80