Finding the Third Proportional to 32,833 and 71,174

Step by Step Solution

1. Step 1: Write the proportion equation
   32,833 : 71,174 = 71,174 : x
2. Step 2: Convert to fraction form
   32,833/71,174 = 71,174/x
3. Step 3: Cross multiply
   32,833x = 71,174 × 71,174
4. Step 4: Simplify right side
   32,833x = 5,065,738,276
5. Step 5: Solve for x
   x = 5,065,738,276/32,833
6. Step 6: Final answer
   x = 154,288.01