Finding the Third Proportional to 21,200 and 32,372

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 32,372 = 32,372 : x
2. Step 2: Convert to fraction form
   21,200/32,372 = 32,372/x
3. Step 3: Cross multiply
   21,200x = 32,372 × 32,372
4. Step 4: Simplify right side
   21,200x = 1,047,946,384
5. Step 5: Solve for x
   x = 1,047,946,384/21,200
6. Step 6: Final answer
   x = 49,431.43