Finding the Third Proportional to 24,165 and 35,196

Step by Step Solution

1. Step 1: Write the proportion equation
   24,165 : 35,196 = 35,196 : x
2. Step 2: Convert to fraction form
   24,165/35,196 = 35,196/x
3. Step 3: Cross multiply
   24,165x = 35,196 × 35,196
4. Step 4: Simplify right side
   24,165x = 1,238,758,416
5. Step 5: Solve for x
   x = 1,238,758,416/24,165
6. Step 6: Final answer
   x = 51,262.50