Finding the Third Proportional to 22,096 and 34,137

Step by Step Solution

1. Step 1: Write the proportion equation
   22,096 : 34,137 = 34,137 : x
2. Step 2: Convert to fraction form
   22,096/34,137 = 34,137/x
3. Step 3: Cross multiply
   22,096x = 34,137 × 34,137
4. Step 4: Simplify right side
   22,096x = 1,165,334,769
5. Step 5: Solve for x
   x = 1,165,334,769/22,096
6. Step 6: Final answer
   x = 52,739.63