Finding the Third Proportional to 30,664 and 71,658

Step by Step Solution

1. Step 1: Write the proportion equation
   30,664 : 71,658 = 71,658 : x
2. Step 2: Convert to fraction form
   30,664/71,658 = 71,658/x
3. Step 3: Cross multiply
   30,664x = 71,658 × 71,658
4. Step 4: Simplify right side
   30,664x = 5,134,868,964
5. Step 5: Solve for x
   x = 5,134,868,964/30,664
6. Step 6: Final answer
   x = 167,455.94