Finding the Third Proportional to 23,124 and 35,120

Step by Step Solution

1. Step 1: Write the proportion equation
   23,124 : 35,120 = 35,120 : x
2. Step 2: Convert to fraction form
   23,124/35,120 = 35,120/x
3. Step 3: Cross multiply
   23,124x = 35,120 × 35,120
4. Step 4: Simplify right side
   23,124x = 1,233,414,400
5. Step 5: Solve for x
   x = 1,233,414,400/23,124
6. Step 6: Final answer
   x = 53,339.15