Finding the Third Proportional to 23,805 and 33,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,805 : 33,637.50 = 33,637.50 : x
2. Step 2: Convert to fraction form
   23,805/33,637.50 = 33,637.50/x
3. Step 3: Cross multiply
   23,805x = 33,637.50 × 33,637.50
4. Step 4: Simplify right side
   23,805x = 1,131,481,406.25
5. Step 5: Solve for x
   x = 1,131,481,406.25/23,805
6. Step 6: Final answer
   x = 47,531.25