Finding the Third Proportional to 22,306 and 32,843

Step by Step Solution

1. Step 1: Write the proportion equation
   22,306 : 32,843 = 32,843 : x
2. Step 2: Convert to fraction form
   22,306/32,843 = 32,843/x
3. Step 3: Cross multiply
   22,306x = 32,843 × 32,843
4. Step 4: Simplify right side
   22,306x = 1,078,662,649
5. Step 5: Solve for x
   x = 1,078,662,649/22,306
6. Step 6: Final answer
   x = 48,357.51