Finding the Third Proportional to 22,150 and 34,296

Step by Step Solution

1. Step 1: Write the proportion equation
   22,150 : 34,296 = 34,296 : x
2. Step 2: Convert to fraction form
   22,150/34,296 = 34,296/x
3. Step 3: Cross multiply
   22,150x = 34,296 × 34,296
4. Step 4: Simplify right side
   22,150x = 1,176,215,616
5. Step 5: Solve for x
   x = 1,176,215,616/22,150
6. Step 6: Final answer
   x = 53,102.29