Finding the Third Proportional to 6,091 and 12,643

Step by Step Solution

1. Step 1: Write the proportion equation
   6,091 : 12,643 = 12,643 : x
2. Step 2: Convert to fraction form
   6,091/12,643 = 12,643/x
3. Step 3: Cross multiply
   6,091x = 12,643 × 12,643
4. Step 4: Simplify right side
   6,091x = 159,845,449
5. Step 5: Solve for x
   x = 159,845,449/6,091
6. Step 6: Final answer
   x = 26,242.89