Finding the Third Proportional to 10,902 and 14,643

Step by Step Solution

1. Step 1: Write the proportion equation
   10,902 : 14,643 = 14,643 : x
2. Step 2: Convert to fraction form
   10,902/14,643 = 14,643/x
3. Step 3: Cross multiply
   10,902x = 14,643 × 14,643
4. Step 4: Simplify right side
   10,902x = 214,417,449
5. Step 5: Solve for x
   x = 214,417,449/10,902
6. Step 6: Final answer
   x = 19,667.72