Finding the Third Proportional to 20,888 and 32,380

Step by Step Solution

1. Step 1: Write the proportion equation
   20,888 : 32,380 = 32,380 : x
2. Step 2: Convert to fraction form
   20,888/32,380 = 32,380/x
3. Step 3: Cross multiply
   20,888x = 32,380 × 32,380
4. Step 4: Simplify right side
   20,888x = 1,048,464,400
5. Step 5: Solve for x
   x = 1,048,464,400/20,888
6. Step 6: Final answer
   x = 50,194.58