Finding the Third Proportional to 22,097 and 34,139

Step by Step Solution

1. Step 1: Write the proportion equation
   22,097 : 34,139 = 34,139 : x
2. Step 2: Convert to fraction form
   22,097/34,139 = 34,139/x
3. Step 3: Cross multiply
   22,097x = 34,139 × 34,139
4. Step 4: Simplify right side
   22,097x = 1,165,471,321
5. Step 5: Solve for x
   x = 1,165,471,321/22,097
6. Step 6: Final answer
   x = 52,743.42