Finding the Third Proportional to 22,158 and 32,378

Step by Step Solution

1. Step 1: Write the proportion equation
   22,158 : 32,378 = 32,378 : x
2. Step 2: Convert to fraction form
   22,158/32,378 = 32,378/x
3. Step 3: Cross multiply
   22,158x = 32,378 × 32,378
4. Step 4: Simplify right side
   22,158x = 1,048,334,884
5. Step 5: Solve for x
   x = 1,048,334,884/22,158
6. Step 6: Final answer
   x = 47,311.80