Finding the Third Proportional to 20,776 and 32,264

Step by Step Solution

1. Step 1: Write the proportion equation
   20,776 : 32,264 = 32,264 : x
2. Step 2: Convert to fraction form
   20,776/32,264 = 32,264/x
3. Step 3: Cross multiply
   20,776x = 32,264 × 32,264
4. Step 4: Simplify right side
   20,776x = 1,040,965,696
5. Step 5: Solve for x
   x = 1,040,965,696/20,776
6. Step 6: Final answer
   x = 50,104.24