Finding the Third Proportional to 24,614 and 53,404

Step by Step Solution

1. Step 1: Write the proportion equation
   24,614 : 53,404 = 53,404 : x
2. Step 2: Convert to fraction form
   24,614/53,404 = 53,404/x
3. Step 3: Cross multiply
   24,614x = 53,404 × 53,404
4. Step 4: Simplify right side
   24,614x = 2,851,987,216
5. Step 5: Solve for x
   x = 2,851,987,216/24,614
6. Step 6: Final answer
   x = 115,868.50