Finding the Third Proportional to 19,536 and 42,184

Step by Step Solution

1. Step 1: Write the proportion equation
   19,536 : 42,184 = 42,184 : x
2. Step 2: Convert to fraction form
   19,536/42,184 = 42,184/x
3. Step 3: Cross multiply
   19,536x = 42,184 × 42,184
4. Step 4: Simplify right side
   19,536x = 1,779,489,856
5. Step 5: Solve for x
   x = 1,779,489,856/19,536
6. Step 6: Final answer
   x = 91,087.73