Finding the Third Proportional to 12,098 and 19,012

Step by Step Solution

1. Step 1: Write the proportion equation
   12,098 : 19,012 = 19,012 : x
2. Step 2: Convert to fraction form
   12,098/19,012 = 19,012/x
3. Step 3: Cross multiply
   12,098x = 19,012 × 19,012
4. Step 4: Simplify right side
   12,098x = 361,456,144
5. Step 5: Solve for x
   x = 361,456,144/12,098
6. Step 6: Final answer
   x = 29,877.35