Finding the Third Proportional to 17,856 and 42,222

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856 : 42,222 = 42,222 : x
2. Step 2: Convert to fraction form
   17,856/42,222 = 42,222/x
3. Step 3: Cross multiply
   17,856x = 42,222 × 42,222
4. Step 4: Simplify right side
   17,856x = 1,782,697,284
5. Step 5: Solve for x
   x = 1,782,697,284/17,856
6. Step 6: Final answer
   x = 99,837.44