Finding the Third Proportional to 11,694.75 and 17,542.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,694.75 : 17,542.50 = 17,542.50 : x
2. Step 2: Convert to fraction form
   11,694.75/17,542.50 = 17,542.50/x
3. Step 3: Cross multiply
   11,694.75x = 17,542.50 × 17,542.50
4. Step 4: Simplify right side
   11,694.75x = 307,739,306.25
5. Step 5: Solve for x
   x = 307,739,306.25/11,694.75
6. Step 6: Final answer
   x = 26,314.31