Finding the Third Proportional to 33,042 and 69,315

Step by Step Solution

1. Step 1: Write the proportion equation
   33,042 : 69,315 = 69,315 : x
2. Step 2: Convert to fraction form
   33,042/69,315 = 69,315/x
3. Step 3: Cross multiply
   33,042x = 69,315 × 69,315
4. Step 4: Simplify right side
   33,042x = 4,804,569,225
5. Step 5: Solve for x
   x = 4,804,569,225/33,042
6. Step 6: Final answer
   x = 145,407.94