Finding the Third Proportional to 7,836 and 12,810

Step by Step Solution

1. Step 1: Write the proportion equation
   7,836 : 12,810 = 12,810 : x
2. Step 2: Convert to fraction form
   7,836/12,810 = 12,810/x
3. Step 3: Cross multiply
   7,836x = 12,810 × 12,810
4. Step 4: Simplify right side
   7,836x = 164,096,100
5. Step 5: Solve for x
   x = 164,096,100/7,836
6. Step 6: Final answer
   x = 20,941.31