Finding the Third Proportional to 8,264 and 17,196.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,264 : 17,196.50 = 17,196.50 : x
2. Step 2: Convert to fraction form
   8,264/17,196.50 = 17,196.50/x
3. Step 3: Cross multiply
   8,264x = 17,196.50 × 17,196.50
4. Step 4: Simplify right side
   8,264x = 295,719,612.25
5. Step 5: Solve for x
   x = 295,719,612.25/8,264
6. Step 6: Final answer
   x = 35,784.08