Finding the Third Proportional to 33,259 and 71,130

Step by Step Solution

1. Step 1: Write the proportion equation
   33,259 : 71,130 = 71,130 : x
2. Step 2: Convert to fraction form
   33,259/71,130 = 71,130/x
3. Step 3: Cross multiply
   33,259x = 71,130 × 71,130
4. Step 4: Simplify right side
   33,259x = 5,059,476,900
5. Step 5: Solve for x
   x = 5,059,476,900/33,259
6. Step 6: Final answer
   x = 152,123.54