Finding the Third Proportional to 24,084 and 32,810

Step by Step Solution

1. Step 1: Write the proportion equation
   24,084 : 32,810 = 32,810 : x
2. Step 2: Convert to fraction form
   24,084/32,810 = 32,810/x
3. Step 3: Cross multiply
   24,084x = 32,810 × 32,810
4. Step 4: Simplify right side
   24,084x = 1,076,496,100
5. Step 5: Solve for x
   x = 1,076,496,100/24,084
6. Step 6: Final answer
   x = 44,697.56