Finding the Third Proportional to 24,777 and 33,241.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,777 : 33,241.50 = 33,241.50 : x
2. Step 2: Convert to fraction form
   24,777/33,241.50 = 33,241.50/x
3. Step 3: Cross multiply
   24,777x = 33,241.50 × 33,241.50
4. Step 4: Simplify right side
   24,777x = 1,104,997,322.25
5. Step 5: Solve for x
   x = 1,104,997,322.25/24,777
6. Step 6: Final answer
   x = 44,597.70