Finding the Third Proportional to 11,682 and 17,536.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,682 : 17,536.50 = 17,536.50 : x
2. Step 2: Convert to fraction form
   11,682/17,536.50 = 17,536.50/x
3. Step 3: Cross multiply
   11,682x = 17,536.50 × 17,536.50
4. Step 4: Simplify right side
   11,682x = 307,528,832.25
5. Step 5: Solve for x
   x = 307,528,832.25/11,682
6. Step 6: Final answer
   x = 26,325.02