Finding the Third Proportional to 10,632 and 14,586

Step by Step Solution

1. Step 1: Write the proportion equation
   10,632 : 14,586 = 14,586 : x
2. Step 2: Convert to fraction form
   10,632/14,586 = 14,586/x
3. Step 3: Cross multiply
   10,632x = 14,586 × 14,586
4. Step 4: Simplify right side
   10,632x = 212,751,396
5. Step 5: Solve for x
   x = 212,751,396/10,632
6. Step 6: Final answer
   x = 20,010.48