Finding the Third Proportional to 17,854 and 42,217

Step by Step Solution

1. Step 1: Write the proportion equation
   17,854 : 42,217 = 42,217 : x
2. Step 2: Convert to fraction form
   17,854/42,217 = 42,217/x
3. Step 3: Cross multiply
   17,854x = 42,217 × 42,217
4. Step 4: Simplify right side
   17,854x = 1,782,275,089
5. Step 5: Solve for x
   x = 1,782,275,089/17,854
6. Step 6: Final answer
   x = 99,824.97