Finding the Third Proportional to 21,730 and 32,803

Step by Step Solution

1. Step 1: Write the proportion equation
   21,730 : 32,803 = 32,803 : x
2. Step 2: Convert to fraction form
   21,730/32,803 = 32,803/x
3. Step 3: Cross multiply
   21,730x = 32,803 × 32,803
4. Step 4: Simplify right side
   21,730x = 1,076,036,809
5. Step 5: Solve for x
   x = 1,076,036,809/21,730
6. Step 6: Final answer
   x = 49,518.49