Finding the Third Proportional to 24,314 and 53,200

Step by Step Solution

1. Step 1: Write the proportion equation
   24,314 : 53,200 = 53,200 : x
2. Step 2: Convert to fraction form
   24,314/53,200 = 53,200/x
3. Step 3: Cross multiply
   24,314x = 53,200 × 53,200
4. Step 4: Simplify right side
   24,314x = 2,830,240,000
5. Step 5: Solve for x
   x = 2,830,240,000/24,314
6. Step 6: Final answer
   x = 116,403.72