Finding the Third Proportional to 22,270 and 32,182

Step by Step Solution

1. Step 1: Write the proportion equation
   22,270 : 32,182 = 32,182 : x
2. Step 2: Convert to fraction form
   22,270/32,182 = 32,182/x
3. Step 3: Cross multiply
   22,270x = 32,182 × 32,182
4. Step 4: Simplify right side
   22,270x = 1,035,681,124
5. Step 5: Solve for x
   x = 1,035,681,124/22,270
6. Step 6: Final answer
   x = 46,505.66