Finding the Third Proportional to 22,164 and 32,375

Step by Step Solution

1. Step 1: Write the proportion equation
   22,164 : 32,375 = 32,375 : x
2. Step 2: Convert to fraction form
   22,164/32,375 = 32,375/x
3. Step 3: Cross multiply
   22,164x = 32,375 × 32,375
4. Step 4: Simplify right side
   22,164x = 1,048,140,625
5. Step 5: Solve for x
   x = 1,048,140,625/22,164
6. Step 6: Final answer
   x = 47,290.23