Finding the Third Proportional to 23,084 and 35,112

Step by Step Solution

1. Step 1: Write the proportion equation
   23,084 : 35,112 = 35,112 : x
2. Step 2: Convert to fraction form
   23,084/35,112 = 35,112/x
3. Step 3: Cross multiply
   23,084x = 35,112 × 35,112
4. Step 4: Simplify right side
   23,084x = 1,232,852,544
5. Step 5: Solve for x
   x = 1,232,852,544/23,084
6. Step 6: Final answer
   x = 53,407.23