Finding the Third Proportional to 7,635 and 13,494

Step by Step Solution

1. Step 1: Write the proportion equation
   7,635 : 13,494 = 13,494 : x
2. Step 2: Convert to fraction form
   7,635/13,494 = 13,494/x
3. Step 3: Cross multiply
   7,635x = 13,494 × 13,494
4. Step 4: Simplify right side
   7,635x = 182,088,036
5. Step 5: Solve for x
   x = 182,088,036/7,635
6. Step 6: Final answer
   x = 23,849.12