Finding the Third Proportional to 7,766 and 12,506

Step by Step Solution

1. Step 1: Write the proportion equation
   7,766 : 12,506 = 12,506 : x
2. Step 2: Convert to fraction form
   7,766/12,506 = 12,506/x
3. Step 3: Cross multiply
   7,766x = 12,506 × 12,506
4. Step 4: Simplify right side
   7,766x = 156,400,036
5. Step 5: Solve for x
   x = 156,400,036/7,766
6. Step 6: Final answer
   x = 20,139.07