Finding the Third Proportional to 21,784 and 32,272

Step by Step Solution

1. Step 1: Write the proportion equation
   21,784 : 32,272 = 32,272 : x
2. Step 2: Convert to fraction form
   21,784/32,272 = 32,272/x
3. Step 3: Cross multiply
   21,784x = 32,272 × 32,272
4. Step 4: Simplify right side
   21,784x = 1,041,481,984
5. Step 5: Solve for x
   x = 1,041,481,984/21,784
6. Step 6: Final answer
   x = 47,809.49