Finding the Third Proportional to 22,277 and 32,684

Step by Step Solution

1. Step 1: Write the proportion equation
   22,277 : 32,684 = 32,684 : x
2. Step 2: Convert to fraction form
   22,277/32,684 = 32,684/x
3. Step 3: Cross multiply
   22,277x = 32,684 × 32,684
4. Step 4: Simplify right side
   22,277x = 1,068,243,856
5. Step 5: Solve for x
   x = 1,068,243,856/22,277
6. Step 6: Final answer
   x = 47,952.77