Finding the Third Proportional to 34,730 and 71,922

Step by Step Solution

1. Step 1: Write the proportion equation
   34,730 : 71,922 = 71,922 : x
2. Step 2: Convert to fraction form
   34,730/71,922 = 71,922/x
3. Step 3: Cross multiply
   34,730x = 71,922 × 71,922
4. Step 4: Simplify right side
   34,730x = 5,172,774,084
5. Step 5: Solve for x
   x = 5,172,774,084/34,730
6. Step 6: Final answer
   x = 148,942.53