Finding the Third Proportional to 12,824 and 27,632

Step by Step Solution

1. Step 1: Write the proportion equation
   12,824 : 27,632 = 27,632 : x
2. Step 2: Convert to fraction form
   12,824/27,632 = 27,632/x
3. Step 3: Cross multiply
   12,824x = 27,632 × 27,632
4. Step 4: Simplify right side
   12,824x = 763,527,424
5. Step 5: Solve for x
   x = 763,527,424/12,824
6. Step 6: Final answer
   x = 59,538.94