Finding the Third Proportional to 22,102 and 34,279

Step by Step Solution

1. Step 1: Write the proportion equation
   22,102 : 34,279 = 34,279 : x
2. Step 2: Convert to fraction form
   22,102/34,279 = 34,279/x
3. Step 3: Cross multiply
   22,102x = 34,279 × 34,279
4. Step 4: Simplify right side
   22,102x = 1,175,049,841
5. Step 5: Solve for x
   x = 1,175,049,841/22,102
6. Step 6: Final answer
   x = 53,164.86