Finding the Third Proportional to 33,015.38 and 69,674.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,015.38 : 69,674.63 = 69,674.63 : x
2. Step 2: Convert to fraction form
   33,015.38/69,674.63 = 69,674.63/x
3. Step 3: Cross multiply
   33,015.38x = 69,674.63 × 69,674.63
4. Step 4: Simplify right side
   33,015.38x = 4,854,553,368.89
5. Step 5: Solve for x
   x = 4,854,553,368.89/33,015.38
6. Step 6: Final answer
   x = 147,039.17