Finding the Third Proportional to 20,688 and 32,775

Step by Step Solution

1. Step 1: Write the proportion equation
   20,688 : 32,775 = 32,775 : x
2. Step 2: Convert to fraction form
   20,688/32,775 = 32,775/x
3. Step 3: Cross multiply
   20,688x = 32,775 × 32,775
4. Step 4: Simplify right side
   20,688x = 1,074,200,625
5. Step 5: Solve for x
   x = 1,074,200,625/20,688
6. Step 6: Final answer
   x = 51,923.85