Finding the Third Proportional to 2,930 and 4,606

Step by Step Solution

1. Step 1: Write the proportion equation
   2,930 : 4,606 = 4,606 : x
2. Step 2: Convert to fraction form
   2,930/4,606 = 4,606/x
3. Step 3: Cross multiply
   2,930x = 4,606 × 4,606
4. Step 4: Simplify right side
   2,930x = 21,215,236
5. Step 5: Solve for x
   x = 21,215,236/2,930
6. Step 6: Final answer
   x = 7,240.69