Finding the Third Proportional to 33,563 and 70,578

Step by Step Solution

1. Step 1: Write the proportion equation
   33,563 : 70,578 = 70,578 : x
2. Step 2: Convert to fraction form
   33,563/70,578 = 70,578/x
3. Step 3: Cross multiply
   33,563x = 70,578 × 70,578
4. Step 4: Simplify right side
   33,563x = 4,981,254,084
5. Step 5: Solve for x
   x = 4,981,254,084/33,563
6. Step 6: Final answer
   x = 148,415.04