Finding the Third Proportional to 22,304 and 32,840

Step by Step Solution

1. Step 1: Write the proportion equation
   22,304 : 32,840 = 32,840 : x
2. Step 2: Convert to fraction form
   22,304/32,840 = 32,840/x
3. Step 3: Cross multiply
   22,304x = 32,840 × 32,840
4. Step 4: Simplify right side
   22,304x = 1,078,465,600
5. Step 5: Solve for x
   x = 1,078,465,600/22,304
6. Step 6: Final answer
   x = 48,353.01