Finding the Third Proportional to 25,834.50 and 54,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,834.50 : 54,769.50 = 54,769.50 : x
2. Step 2: Convert to fraction form
   25,834.50/54,769.50 = 54,769.50/x
3. Step 3: Cross multiply
   25,834.50x = 54,769.50 × 54,769.50
4. Step 4: Simplify right side
   25,834.50x = 2,999,698,130.25
5. Step 5: Solve for x
   x = 2,999,698,130.25/25,834.50
6. Step 6: Final answer
   x = 116,112.10