Finding the Third Proportional to 10,604 and 13,778

Step by Step Solution

1. Step 1: Write the proportion equation
   10,604 : 13,778 = 13,778 : x
2. Step 2: Convert to fraction form
   10,604/13,778 = 13,778/x
3. Step 3: Cross multiply
   10,604x = 13,778 × 13,778
4. Step 4: Simplify right side
   10,604x = 189,833,284
5. Step 5: Solve for x
   x = 189,833,284/10,604
6. Step 6: Final answer
   x = 17,902.04