Finding the Third Proportional to 4,592 and 7,616

Step by Step Solution

1. Step 1: Write the proportion equation
   4,592 : 7,616 = 7,616 : x
2. Step 2: Convert to fraction form
   4,592/7,616 = 7,616/x
3. Step 3: Cross multiply
   4,592x = 7,616 × 7,616
4. Step 4: Simplify right side
   4,592x = 58,003,456
5. Step 5: Solve for x
   x = 58,003,456/4,592
6. Step 6: Final answer
   x = 12,631.41