Finding the Third Proportional to 33,038 and 71,692

Step by Step Solution

1. Step 1: Write the proportion equation
   33,038 : 71,692 = 71,692 : x
2. Step 2: Convert to fraction form
   33,038/71,692 = 71,692/x
3. Step 3: Cross multiply
   33,038x = 71,692 × 71,692
4. Step 4: Simplify right side
   33,038x = 5,139,742,864
5. Step 5: Solve for x
   x = 5,139,742,864/33,038
6. Step 6: Final answer
   x = 155,570.64