Finding the Third Proportional to 19,514 and 42,180

Step by Step Solution

1. Step 1: Write the proportion equation
   19,514 : 42,180 = 42,180 : x
2. Step 2: Convert to fraction form
   19,514/42,180 = 42,180/x
3. Step 3: Cross multiply
   19,514x = 42,180 × 42,180
4. Step 4: Simplify right side
   19,514x = 1,779,152,400
5. Step 5: Solve for x
   x = 1,779,152,400/19,514
6. Step 6: Final answer
   x = 91,173.13