Finding the Third Proportional to 23,161 and 35,209.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,161 : 35,209.50 = 35,209.50 : x
2. Step 2: Convert to fraction form
   23,161/35,209.50 = 35,209.50/x
3. Step 3: Cross multiply
   23,161x = 35,209.50 × 35,209.50
4. Step 4: Simplify right side
   23,161x = 1,239,708,890.25
5. Step 5: Solve for x
   x = 1,239,708,890.25/23,161
6. Step 6: Final answer
   x = 53,525.71