Finding the Third Proportional to 23,082 and 35,109

Step by Step Solution

1. Step 1: Write the proportion equation
   23,082 : 35,109 = 35,109 : x
2. Step 2: Convert to fraction form
   23,082/35,109 = 35,109/x
3. Step 3: Cross multiply
   23,082x = 35,109 × 35,109
4. Step 4: Simplify right side
   23,082x = 1,232,641,881
5. Step 5: Solve for x
   x = 1,232,641,881/23,082
6. Step 6: Final answer
   x = 53,402.73