Finding the Third Proportional to 20,688 and 31,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,688 : 31,968.50 = 31,968.50 : x
2. Step 2: Convert to fraction form
   20,688/31,968.50 = 31,968.50/x
3. Step 3: Cross multiply
   20,688x = 31,968.50 × 31,968.50
4. Step 4: Simplify right side
   20,688x = 1,021,984,992.25
5. Step 5: Solve for x
   x = 1,021,984,992.25/20,688
6. Step 6: Final answer
   x = 49,399.89