Finding the Third Proportional to 30,795 and 65,478

Step by Step Solution

1. Step 1: Write the proportion equation
   30,795 : 65,478 = 65,478 : x
2. Step 2: Convert to fraction form
   30,795/65,478 = 65,478/x
3. Step 3: Cross multiply
   30,795x = 65,478 × 65,478
4. Step 4: Simplify right side
   30,795x = 4,287,368,484
5. Step 5: Solve for x
   x = 4,287,368,484/30,795
6. Step 6: Final answer
   x = 139,222.88