Finding the Third Proportional to 20,856 and 32,340

Step by Step Solution

1. Step 1: Write the proportion equation
   20,856 : 32,340 = 32,340 : x
2. Step 2: Convert to fraction form
   20,856/32,340 = 32,340/x
3. Step 3: Cross multiply
   20,856x = 32,340 × 32,340
4. Step 4: Simplify right side
   20,856x = 1,045,875,600
5. Step 5: Solve for x
   x = 1,045,875,600/20,856
6. Step 6: Final answer
   x = 50,147.47