Finding the Third Proportional to 33,014 and 71,194

Step by Step Solution

1. Step 1: Write the proportion equation
   33,014 : 71,194 = 71,194 : x
2. Step 2: Convert to fraction form
   33,014/71,194 = 71,194/x
3. Step 3: Cross multiply
   33,014x = 71,194 × 71,194
4. Step 4: Simplify right side
   33,014x = 5,068,585,636
5. Step 5: Solve for x
   x = 5,068,585,636/33,014
6. Step 6: Final answer
   x = 153,528.37