Finding the Third Proportional to 20,116 and 32,191

Step by Step Solution

1. Step 1: Write the proportion equation
   20,116 : 32,191 = 32,191 : x
2. Step 2: Convert to fraction form
   20,116/32,191 = 32,191/x
3. Step 3: Cross multiply
   20,116x = 32,191 × 32,191
4. Step 4: Simplify right side
   20,116x = 1,036,260,481
5. Step 5: Solve for x
   x = 1,036,260,481/20,116
6. Step 6: Final answer
   x = 51,514.24