Finding the Third Proportional to 23,742 and 33,403.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,742 : 33,403.50 = 33,403.50 : x
2. Step 2: Convert to fraction form
   23,742/33,403.50 = 33,403.50/x
3. Step 3: Cross multiply
   23,742x = 33,403.50 × 33,403.50
4. Step 4: Simplify right side
   23,742x = 1,115,793,812.25
5. Step 5: Solve for x
   x = 1,115,793,812.25/23,742
6. Step 6: Final answer
   x = 46,996.62