Finding the Third Proportional to 18,296 and 42,780

Step by Step Solution

1. Step 1: Write the proportion equation
   18,296 : 42,780 = 42,780 : x
2. Step 2: Convert to fraction form
   18,296/42,780 = 42,780/x
3. Step 3: Cross multiply
   18,296x = 42,780 × 42,780
4. Step 4: Simplify right side
   18,296x = 1,830,128,400
5. Step 5: Solve for x
   x = 1,830,128,400/18,296
6. Step 6: Final answer
   x = 100,028.88