Finding the Third Proportional to 33,501 and 71,862

Step by Step Solution

1. Step 1: Write the proportion equation
   33,501 : 71,862 = 71,862 : x
2. Step 2: Convert to fraction form
   33,501/71,862 = 71,862/x
3. Step 3: Cross multiply
   33,501x = 71,862 × 71,862
4. Step 4: Simplify right side
   33,501x = 5,164,147,044
5. Step 5: Solve for x
   x = 5,164,147,044/33,501
6. Step 6: Final answer
   x = 154,149.04