Finding the Third Proportional to 24,394.50 and 53,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,394.50 : 53,338.50 = 53,338.50 : x
2. Step 2: Convert to fraction form
   24,394.50/53,338.50 = 53,338.50/x
3. Step 3: Cross multiply
   24,394.50x = 53,338.50 × 53,338.50
4. Step 4: Simplify right side
   24,394.50x = 2,844,995,582.25
5. Step 5: Solve for x
   x = 2,844,995,582.25/24,394.50
6. Step 6: Final answer
   x = 116,624.47