Finding the Third Proportional to 24,760 and 54,198.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,760 : 54,198.50 = 54,198.50 : x
2. Step 2: Convert to fraction form
   24,760/54,198.50 = 54,198.50/x
3. Step 3: Cross multiply
   24,760x = 54,198.50 × 54,198.50
4. Step 4: Simplify right side
   24,760x = 2,937,477,402.25
5. Step 5: Solve for x
   x = 2,937,477,402.25/24,760
6. Step 6: Final answer
   x = 118,638.02