Finding the Third Proportional to 11,704.50 and 17,546.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,704.50 : 17,546.63 = 17,546.63 : x
2. Step 2: Convert to fraction form
   11,704.50/17,546.63 = 17,546.63/x
3. Step 3: Cross multiply
   11,704.50x = 17,546.63 × 17,546.63
4. Step 4: Simplify right side
   11,704.50x = 307,884,048.89
5. Step 5: Solve for x
   x = 307,884,048.89/11,704.50
6. Step 6: Final answer
   x = 26,304.76