Finding the Third Proportional to 11,580 and 19,002

Step by Step Solution

1. Step 1: Write the proportion equation
   11,580 : 19,002 = 19,002 : x
2. Step 2: Convert to fraction form
   11,580/19,002 = 19,002/x
3. Step 3: Cross multiply
   11,580x = 19,002 × 19,002
4. Step 4: Simplify right side
   11,580x = 361,076,004
5. Step 5: Solve for x
   x = 361,076,004/11,580
6. Step 6: Final answer
   x = 31,181.00