Finding the Third Proportional to 8,152 and 12,592

Step by Step Solution

1. Step 1: Write the proportion equation
   8,152 : 12,592 = 12,592 : x
2. Step 2: Convert to fraction form
   8,152/12,592 = 12,592/x
3. Step 3: Cross multiply
   8,152x = 12,592 × 12,592
4. Step 4: Simplify right side
   8,152x = 158,558,464
5. Step 5: Solve for x
   x = 158,558,464/8,152
6. Step 6: Final answer
   x = 19,450.25