Finding the Third Proportional to 23,106 and 35,835

Step by Step Solution

1. Step 1: Write the proportion equation
   23,106 : 35,835 = 35,835 : x
2. Step 2: Convert to fraction form
   23,106/35,835 = 35,835/x
3. Step 3: Cross multiply
   23,106x = 35,835 × 35,835
4. Step 4: Simplify right side
   23,106x = 1,284,147,225
5. Step 5: Solve for x
   x = 1,284,147,225/23,106
6. Step 6: Final answer
   x = 55,576.35