Finding the Third Proportional to 30,402 and 71,011

Step by Step Solution

1. Step 1: Write the proportion equation
   30,402 : 71,011 = 71,011 : x
2. Step 2: Convert to fraction form
   30,402/71,011 = 71,011/x
3. Step 3: Cross multiply
   30,402x = 71,011 × 71,011
4. Step 4: Simplify right side
   30,402x = 5,042,562,121
5. Step 5: Solve for x
   x = 5,042,562,121/30,402
6. Step 6: Final answer
   x = 165,862.84