Finding the Third Proportional to 25,763 and 54,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,763 : 54,293.50 = 54,293.50 : x
2. Step 2: Convert to fraction form
   25,763/54,293.50 = 54,293.50/x
3. Step 3: Cross multiply
   25,763x = 54,293.50 × 54,293.50
4. Step 4: Simplify right side
   25,763x = 2,947,784,142.25
5. Step 5: Solve for x
   x = 2,947,784,142.25/25,763
6. Step 6: Final answer
   x = 114,419.29