Finding the Third Proportional to 7,788 and 12,738

Step by Step Solution

1. Step 1: Write the proportion equation
   7,788 : 12,738 = 12,738 : x
2. Step 2: Convert to fraction form
   7,788/12,738 = 12,738/x
3. Step 3: Cross multiply
   7,788x = 12,738 × 12,738
4. Step 4: Simplify right side
   7,788x = 162,256,644
5. Step 5: Solve for x
   x = 162,256,644/7,788
6. Step 6: Final answer
   x = 20,834.19