Finding the Third Proportional to 19,514 and 42,592

Step by Step Solution

1. Step 1: Write the proportion equation
   19,514 : 42,592 = 42,592 : x
2. Step 2: Convert to fraction form
   19,514/42,592 = 42,592/x
3. Step 3: Cross multiply
   19,514x = 42,592 × 42,592
4. Step 4: Simplify right side
   19,514x = 1,814,078,464
5. Step 5: Solve for x
   x = 1,814,078,464/19,514
6. Step 6: Final answer
   x = 92,962.92