Finding the Third Proportional to 23,191 and 35,229

Step by Step Solution

1. Step 1: Write the proportion equation
   23,191 : 35,229 = 35,229 : x
2. Step 2: Convert to fraction form
   23,191/35,229 = 35,229/x
3. Step 3: Cross multiply
   23,191x = 35,229 × 35,229
4. Step 4: Simplify right side
   23,191x = 1,241,082,441
5. Step 5: Solve for x
   x = 1,241,082,441/23,191
6. Step 6: Final answer
   x = 53,515.69