Finding the Third Proportional to 33,496 and 69,748.38

Step by Step Solution

1. Step 1: Write the proportion equation
   33,496 : 69,748.38 = 69,748.38 : x
2. Step 2: Convert to fraction form
   33,496/69,748.38 = 69,748.38/x
3. Step 3: Cross multiply
   33,496x = 69,748.38 × 69,748.38
4. Step 4: Simplify right side
   33,496x = 4,864,835,815.14
5. Step 5: Solve for x
   x = 4,864,835,815.14/33,496
6. Step 6: Final answer
   x = 145,236.32