Finding the Third Proportional to 9,526 and 12,643

Step by Step Solution

1. Step 1: Write the proportion equation
   9,526 : 12,643 = 12,643 : x
2. Step 2: Convert to fraction form
   9,526/12,643 = 12,643/x
3. Step 3: Cross multiply
   9,526x = 12,643 × 12,643
4. Step 4: Simplify right side
   9,526x = 159,845,449
5. Step 5: Solve for x
   x = 159,845,449/9,526
6. Step 6: Final answer
   x = 16,779.91