Finding the Third Proportional to 23,826 and 31,329

Step by Step Solution

1. Step 1: Write the proportion equation
   23,826 : 31,329 = 31,329 : x
2. Step 2: Convert to fraction form
   23,826/31,329 = 31,329/x
3. Step 3: Cross multiply
   23,826x = 31,329 × 31,329
4. Step 4: Simplify right side
   23,826x = 981,506,241
5. Step 5: Solve for x
   x = 981,506,241/23,826
6. Step 6: Final answer
   x = 41,194.76