Finding the Third Proportional to 11,394 and 24,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,394 : 24,493.50 = 24,493.50 : x
2. Step 2: Convert to fraction form
   11,394/24,493.50 = 24,493.50/x
3. Step 3: Cross multiply
   11,394x = 24,493.50 × 24,493.50
4. Step 4: Simplify right side
   11,394x = 599,931,542.25
5. Step 5: Solve for x
   x = 599,931,542.25/11,394
6. Step 6: Final answer
   x = 52,653.29