Finding the Third Proportional to 35,148 and 71,259

Step by Step Solution

1. Step 1: Write the proportion equation
   35,148 : 71,259 = 71,259 : x
2. Step 2: Convert to fraction form
   35,148/71,259 = 71,259/x
3. Step 3: Cross multiply
   35,148x = 71,259 × 71,259
4. Step 4: Simplify right side
   35,148x = 5,077,845,081
5. Step 5: Solve for x
   x = 5,077,845,081/35,148
6. Step 6: Final answer
   x = 144,470.38