Finding the Third Proportional to 21,738 and 32,655

Step by Step Solution

1. Step 1: Write the proportion equation
   21,738 : 32,655 = 32,655 : x
2. Step 2: Convert to fraction form
   21,738/32,655 = 32,655/x
3. Step 3: Cross multiply
   21,738x = 32,655 × 32,655
4. Step 4: Simplify right side
   21,738x = 1,066,349,025
5. Step 5: Solve for x
   x = 1,066,349,025/21,738
6. Step 6: Final answer
   x = 49,054.61