Finding the Third Proportional to 10,974.75 and 24,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.75 : 24,322.50 = 24,322.50 : x
2. Step 2: Convert to fraction form
   10,974.75/24,322.50 = 24,322.50/x
3. Step 3: Cross multiply
   10,974.75x = 24,322.50 × 24,322.50
4. Step 4: Simplify right side
   10,974.75x = 591,584,006.25
5. Step 5: Solve for x
   x = 591,584,006.25/10,974.75
6. Step 6: Final answer
   x = 53,904.10