Finding the Third Proportional to 24,966 and 54,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,966 : 54,538.50 = 54,538.50 : x
2. Step 2: Convert to fraction form
   24,966/54,538.50 = 54,538.50/x
3. Step 3: Cross multiply
   24,966x = 54,538.50 × 54,538.50
4. Step 4: Simplify right side
   24,966x = 2,974,447,982.25
5. Step 5: Solve for x
   x = 2,974,447,982.25/24,966
6. Step 6: Final answer
   x = 119,139.95