Finding the Third Proportional to 11,560 and 19,084

Step by Step Solution

1. Step 1: Write the proportion equation
   11,560 : 19,084 = 19,084 : x
2. Step 2: Convert to fraction form
   11,560/19,084 = 19,084/x
3. Step 3: Cross multiply
   11,560x = 19,084 × 19,084
4. Step 4: Simplify right side
   11,560x = 364,199,056
5. Step 5: Solve for x
   x = 364,199,056/11,560
6. Step 6: Final answer
   x = 31,505.11