Finding the Third Proportional to 22,343 and 32,589

Step by Step Solution

1. Step 1: Write the proportion equation
   22,343 : 32,589 = 32,589 : x
2. Step 2: Convert to fraction form
   22,343/32,589 = 32,589/x
3. Step 3: Cross multiply
   22,343x = 32,589 × 32,589
4. Step 4: Simplify right side
   22,343x = 1,062,042,921
5. Step 5: Solve for x
   x = 1,062,042,921/22,343
6. Step 6: Final answer
   x = 47,533.59