Finding the Third Proportional to 21,701 and 32,783

Step by Step Solution

1. Step 1: Write the proportion equation
   21,701 : 32,783 = 32,783 : x
2. Step 2: Convert to fraction form
   21,701/32,783 = 32,783/x
3. Step 3: Cross multiply
   21,701x = 32,783 × 32,783
4. Step 4: Simplify right side
   21,701x = 1,074,725,089
5. Step 5: Solve for x
   x = 1,074,725,089/21,701
6. Step 6: Final answer
   x = 49,524.22