Finding the Third Proportional to 21,682 and 31,699.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,682 : 31,699.50 = 31,699.50 : x
2. Step 2: Convert to fraction form
   21,682/31,699.50 = 31,699.50/x
3. Step 3: Cross multiply
   21,682x = 31,699.50 × 31,699.50
4. Step 4: Simplify right side
   21,682x = 1,004,858,300.25
5. Step 5: Solve for x
   x = 1,004,858,300.25/21,682
6. Step 6: Final answer
   x = 46,345.28