Finding the Third Proportional to 21,814 and 32,748

Step by Step Solution

1. Step 1: Write the proportion equation
   21,814 : 32,748 = 32,748 : x
2. Step 2: Convert to fraction form
   21,814/32,748 = 32,748/x
3. Step 3: Cross multiply
   21,814x = 32,748 × 32,748
4. Step 4: Simplify right side
   21,814x = 1,072,431,504
5. Step 5: Solve for x
   x = 1,072,431,504/21,814
6. Step 6: Final answer
   x = 49,162.53