Finding the Third Proportional to 21,880 and 32,813

Step by Step Solution

1. Step 1: Write the proportion equation
   21,880 : 32,813 = 32,813 : x
2. Step 2: Convert to fraction form
   21,880/32,813 = 32,813/x
3. Step 3: Cross multiply
   21,880x = 32,813 × 32,813
4. Step 4: Simplify right side
   21,880x = 1,076,692,969
5. Step 5: Solve for x
   x = 1,076,692,969/21,880
6. Step 6: Final answer
   x = 49,209.00