Finding the Third Proportional to 33,674 and 70,840

Step by Step Solution

1. Step 1: Write the proportion equation
   33,674 : 70,840 = 70,840 : x
2. Step 2: Convert to fraction form
   33,674/70,840 = 70,840/x
3. Step 3: Cross multiply
   33,674x = 70,840 × 70,840
4. Step 4: Simplify right side
   33,674x = 5,018,305,600
5. Step 5: Solve for x
   x = 5,018,305,600/33,674
6. Step 6: Final answer
   x = 149,026.12