Finding the Third Proportional to 25,769.25 and 54,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,769.25 : 54,697.50 = 54,697.50 : x
2. Step 2: Convert to fraction form
   25,769.25/54,697.50 = 54,697.50/x
3. Step 3: Cross multiply
   25,769.25x = 54,697.50 × 54,697.50
4. Step 4: Simplify right side
   25,769.25x = 2,991,816,506.25
5. Step 5: Solve for x
   x = 2,991,816,506.25/25,769.25
6. Step 6: Final answer
   x = 116,100.26