Finding the Third Proportional to 23,109 and 47,313.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,109 : 47,313.50 = 47,313.50 : x
2. Step 2: Convert to fraction form
   23,109/47,313.50 = 47,313.50/x
3. Step 3: Cross multiply
   23,109x = 47,313.50 × 47,313.50
4. Step 4: Simplify right side
   23,109x = 2,238,567,282.25
5. Step 5: Solve for x
   x = 2,238,567,282.25/23,109
6. Step 6: Final answer
   x = 96,869.93