Finding the Third Proportional to 12,192 and 19,752

Step by Step Solution

1. Step 1: Write the proportion equation
   12,192 : 19,752 = 19,752 : x
2. Step 2: Convert to fraction form
   12,192/19,752 = 19,752/x
3. Step 3: Cross multiply
   12,192x = 19,752 × 19,752
4. Step 4: Simplify right side
   12,192x = 390,141,504
5. Step 5: Solve for x
   x = 390,141,504/12,192
6. Step 6: Final answer
   x = 31,999.80