Finding the Third Proportional to 7,782 and 13,788

Step by Step Solution

1. Step 1: Write the proportion equation
   7,782 : 13,788 = 13,788 : x
2. Step 2: Convert to fraction form
   7,782/13,788 = 13,788/x
3. Step 3: Cross multiply
   7,782x = 13,788 × 13,788
4. Step 4: Simplify right side
   7,782x = 190,108,944
5. Step 5: Solve for x
   x = 190,108,944/7,782
6. Step 6: Final answer
   x = 24,429.32