Finding the Third Proportional to 4,658 and 10,052

Step by Step Solution

1. Step 1: Write the proportion equation
   4,658 : 10,052 = 10,052 : x
2. Step 2: Convert to fraction form
   4,658/10,052 = 10,052/x
3. Step 3: Cross multiply
   4,658x = 10,052 × 10,052
4. Step 4: Simplify right side
   4,658x = 101,042,704
5. Step 5: Solve for x
   x = 101,042,704/4,658
6. Step 6: Final answer
   x = 21,692.29