Finding the Third Proportional to 24,824.25 and 54,022.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,824.25 : 54,022.50 = 54,022.50 : x
2. Step 2: Convert to fraction form
   24,824.25/54,022.50 = 54,022.50/x
3. Step 3: Cross multiply
   24,824.25x = 54,022.50 × 54,022.50
4. Step 4: Simplify right side
   24,824.25x = 2,918,430,506.25
5. Step 5: Solve for x
   x = 2,918,430,506.25/24,824.25
6. Step 6: Final answer
   x = 117,563.69