Finding the Third Proportional to 33,872 and 70,088

Step by Step Solution

1. Step 1: Write the proportion equation
   33,872 : 70,088 = 70,088 : x
2. Step 2: Convert to fraction form
   33,872/70,088 = 70,088/x
3. Step 3: Cross multiply
   33,872x = 70,088 × 70,088
4. Step 4: Simplify right side
   33,872x = 4,912,327,744
5. Step 5: Solve for x
   x = 4,912,327,744/33,872
6. Step 6: Final answer
   x = 145,026.21