Finding the Third Proportional to 23,797 and 33,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,797 : 33,427.50 = 33,427.50 : x
2. Step 2: Convert to fraction form
   23,797/33,427.50 = 33,427.50/x
3. Step 3: Cross multiply
   23,797x = 33,427.50 × 33,427.50
4. Step 4: Simplify right side
   23,797x = 1,117,397,756.25
5. Step 5: Solve for x
   x = 1,117,397,756.25/23,797
6. Step 6: Final answer
   x = 46,955.40