Finding the Third Proportional to 17,884 and 42,158

Step by Step Solution

1. Step 1: Write the proportion equation
   17,884 : 42,158 = 42,158 : x
2. Step 2: Convert to fraction form
   17,884/42,158 = 42,158/x
3. Step 3: Cross multiply
   17,884x = 42,158 × 42,158
4. Step 4: Simplify right side
   17,884x = 1,777,296,964
5. Step 5: Solve for x
   x = 1,777,296,964/17,884
6. Step 6: Final answer
   x = 99,379.16