Finding the Third Proportional to 23,682 and 34,213.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,682 : 34,213.50 = 34,213.50 : x
2. Step 2: Convert to fraction form
   23,682/34,213.50 = 34,213.50/x
3. Step 3: Cross multiply
   23,682x = 34,213.50 × 34,213.50
4. Step 4: Simplify right side
   23,682x = 1,170,563,582.25
5. Step 5: Solve for x
   x = 1,170,563,582.25/23,682
6. Step 6: Final answer
   x = 49,428.41