Finding the Third Proportional to 10,594 and 17,643

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594 : 17,643 = 17,643 : x
2. Step 2: Convert to fraction form
   10,594/17,643 = 17,643/x
3. Step 3: Cross multiply
   10,594x = 17,643 × 17,643
4. Step 4: Simplify right side
   10,594x = 311,275,449
5. Step 5: Solve for x
   x = 311,275,449/10,594
6. Step 6: Final answer
   x = 29,382.24