Finding the Third Proportional to 25,196 and 35,222

Step by Step Solution

1. Step 1: Write the proportion equation
   25,196 : 35,222 = 35,222 : x
2. Step 2: Convert to fraction form
   25,196/35,222 = 35,222/x
3. Step 3: Cross multiply
   25,196x = 35,222 × 35,222
4. Step 4: Simplify right side
   25,196x = 1,240,589,284
5. Step 5: Solve for x
   x = 1,240,589,284/25,196
6. Step 6: Final answer
   x = 49,237.55