Finding the Third Proportional to 33,674 and 70,898

Step by Step Solution

1. Step 1: Write the proportion equation
   33,674 : 70,898 = 70,898 : x
2. Step 2: Convert to fraction form
   33,674/70,898 = 70,898/x
3. Step 3: Cross multiply
   33,674x = 70,898 × 70,898
4. Step 4: Simplify right side
   33,674x = 5,026,526,404
5. Step 5: Solve for x
   x = 5,026,526,404/33,674
6. Step 6: Final answer
   x = 149,270.25