Finding the Third Proportional to 9,642 and 14,426

Step by Step Solution

1. Step 1: Write the proportion equation
   9,642 : 14,426 = 14,426 : x
2. Step 2: Convert to fraction form
   9,642/14,426 = 14,426/x
3. Step 3: Cross multiply
   9,642x = 14,426 × 14,426
4. Step 4: Simplify right side
   9,642x = 208,109,476
5. Step 5: Solve for x
   x = 208,109,476/9,642
6. Step 6: Final answer
   x = 21,583.64