Finding the Third Proportional to 12,576 and 34,200

Step by Step Solution

1. Step 1: Write the proportion equation
   12,576 : 34,200 = 34,200 : x
2. Step 2: Convert to fraction form
   12,576/34,200 = 34,200/x
3. Step 3: Cross multiply
   12,576x = 34,200 × 34,200
4. Step 4: Simplify right side
   12,576x = 1,169,640,000
5. Step 5: Solve for x
   x = 1,169,640,000/12,576
6. Step 6: Final answer
   x = 93,005.73