Finding the Third Proportional to 21,410 and 34,097

Step by Step Solution

1. Step 1: Write the proportion equation
   21,410 : 34,097 = 34,097 : x
2. Step 2: Convert to fraction form
   21,410/34,097 = 34,097/x
3. Step 3: Cross multiply
   21,410x = 34,097 × 34,097
4. Step 4: Simplify right side
   21,410x = 1,162,605,409
5. Step 5: Solve for x
   x = 1,162,605,409/21,410
6. Step 6: Final answer
   x = 54,301.98