Finding the Third Proportional to 10,320 and 12,129

Step by Step Solution

1. Step 1: Write the proportion equation
   10,320 : 12,129 = 12,129 : x
2. Step 2: Convert to fraction form
   10,320/12,129 = 12,129/x
3. Step 3: Cross multiply
   10,320x = 12,129 × 12,129
4. Step 4: Simplify right side
   10,320x = 147,112,641
5. Step 5: Solve for x
   x = 147,112,641/10,320
6. Step 6: Final answer
   x = 14,255.10