Finding the Third Proportional to 6,090 and 12,729

Step by Step Solution

1. Step 1: Write the proportion equation
   6,090 : 12,729 = 12,729 : x
2. Step 2: Convert to fraction form
   6,090/12,729 = 12,729/x
3. Step 3: Cross multiply
   6,090x = 12,729 × 12,729
4. Step 4: Simplify right side
   6,090x = 162,027,441
5. Step 5: Solve for x
   x = 162,027,441/6,090
6. Step 6: Final answer
   x = 26,605.49