Finding the Third Proportional to 33,536 and 70,880

Step by Step Solution

1. Step 1: Write the proportion equation
   33,536 : 70,880 = 70,880 : x
2. Step 2: Convert to fraction form
   33,536/70,880 = 70,880/x
3. Step 3: Cross multiply
   33,536x = 70,880 × 70,880
4. Step 4: Simplify right side
   33,536x = 5,023,974,400
5. Step 5: Solve for x
   x = 5,023,974,400/33,536
6. Step 6: Final answer
   x = 149,808.40