Finding the Third Proportional to 33,561 and 70,574

Step by Step Solution

1. Step 1: Write the proportion equation
   33,561 : 70,574 = 70,574 : x
2. Step 2: Convert to fraction form
   33,561/70,574 = 70,574/x
3. Step 3: Cross multiply
   33,561x = 70,574 × 70,574
4. Step 4: Simplify right side
   33,561x = 4,980,689,476
5. Step 5: Solve for x
   x = 4,980,689,476/33,561
6. Step 6: Final answer
   x = 148,407.06