Finding the Third Proportional to 11,788 and 17,682.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,788 : 17,682.50 = 17,682.50 : x
2. Step 2: Convert to fraction form
   11,788/17,682.50 = 17,682.50/x
3. Step 3: Cross multiply
   11,788x = 17,682.50 × 17,682.50
4. Step 4: Simplify right side
   11,788x = 312,670,806.25
5. Step 5: Solve for x
   x = 312,670,806.25/11,788
6. Step 6: Final answer
   x = 26,524.50