Finding the Third Proportional to 33,176 and 69,427

Step by Step Solution

1. Step 1: Write the proportion equation
   33,176 : 69,427 = 69,427 : x
2. Step 2: Convert to fraction form
   33,176/69,427 = 69,427/x
3. Step 3: Cross multiply
   33,176x = 69,427 × 69,427
4. Step 4: Simplify right side
   33,176x = 4,820,108,329
5. Step 5: Solve for x
   x = 4,820,108,329/33,176
6. Step 6: Final answer
   x = 145,289.01