Finding the Third Proportional to 33,496 and 70,438

Step by Step Solution

1. Step 1: Write the proportion equation
   33,496 : 70,438 = 70,438 : x
2. Step 2: Convert to fraction form
   33,496/70,438 = 70,438/x
3. Step 3: Cross multiply
   33,496x = 70,438 × 70,438
4. Step 4: Simplify right side
   33,496x = 4,961,511,844
5. Step 5: Solve for x
   x = 4,961,511,844/33,496
6. Step 6: Final answer
   x = 148,122.52