Finding the Third Proportional to 33,045 and 69,857.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,045 : 69,857.25 = 69,857.25 : x
2. Step 2: Convert to fraction form
   33,045/69,857.25 = 69,857.25/x
3. Step 3: Cross multiply
   33,045x = 69,857.25 × 69,857.25
4. Step 4: Simplify right side
   33,045x = 4,880,035,377.56
5. Step 5: Solve for x
   x = 4,880,035,377.56/33,045
6. Step 6: Final answer
   x = 147,678.48