Finding the Third Proportional to 21,200 and 49,292

Step by Step Solution

1. Step 1: Write the proportion equation
   21,200 : 49,292 = 49,292 : x
2. Step 2: Convert to fraction form
   21,200/49,292 = 49,292/x
3. Step 3: Cross multiply
   21,200x = 49,292 × 49,292
4. Step 4: Simplify right side
   21,200x = 2,429,701,264
5. Step 5: Solve for x
   x = 2,429,701,264/21,200
6. Step 6: Final answer
   x = 114,608.55